The tetrassarion was a bronze denomination worth 4 asses - assarion in Greek. 
It was commonly struck by Roman Provincial mints, and was not struck to a standard weight but rather to some local standard. It was simply a coin worth 4 of the local basic coin denomination.
It was commonly struck by Roman Provincial mints, and was not struck to a standard weight but rather to some local standard. It was simply a coin worth 4 of the local basic coin denomination.

                    (1)
                                 Caracalla
                            
                
                
                 
                
                
                    
                        An
                        AE
                                        Tetrassarion
                                    
                        struck                             212-217
 in
                                        Tyras
                                    
                    
                
                
                
                                Obverse: ΑΥΤ ΚΑΙ Μ ΑΥΡ CЄΥΗΡΟC ΑΝΤΩΝΙΝΟ Laureate head of Caracalla to right
                            
                            
                                Reverse: ΤΥΡΑΝΩΝ Caracalla, holding spear in his right hand, riding to right
                            
                            
                            Diameter: 
                                26 mm
                            
Die Orientation: 7 H
Weight: 9.38 g
                            
                        
                        
                        Die Orientation: 7 H
Weight: 9.38 g
No notes for this coin
                        
                                BMC -. SNG Copenhagen -. Zograph -
                        
                    
                    (2)
                                 Faustina II
                            
                
                
                 
                
                
                    
                        An
                        AE
                                        Tetrassarion
                                    
                        struck                             161-176 AD
 in
                                        Philippopolis
                                    
                    
                
                
                
                                Obverse: draped bust right; ΦAVCTEINA__CEBACTH
                            
                            
                                Reverse: veiled Demeter standing half left, holding torch in each hand; ΦIΛIΠΠO_Π_OΛEITΩN
                            
                            
                            Diameter: 
                                25 mm
                            
Die Orientation: -
Weight: 9.6 g
                            
                        
                        
                        Die Orientation: -
Weight: 9.6 g
No notes for this coin
                        
                                Varbanov 886 (R5)
                        
                    
                    (3)
                                 Julia Domna
                            
                
                
                 
                
                
                    
                        An
                        AE
                                        Tetrassarion
                                    
                        struck                             193-217
 in
                                        Nicopolis ad Istrum
                                    
                    
                
                
                
                                Obverse: IOVLIA DOMNA CE, draped bust right
                            
                            
                                Reverse: OOVONI TEPTVLLOV NIKOPOLITWN Julia on left standing right and Septimius Severus on right, standing left, facing each other clasping hands, PROC ICTRWN in exergue
                            
                            
                            Diameter: 
                                27 mm
                            
Die Orientation: -
Weight: 9.9 g
                            
                        
                        
                        Die Orientation: -
Weight: 9.9 g
 maybe HHJ plate coin?                        
                        
                        
                                Moushmov 1055, HHJ (2018) 8.17.34.2
                        
                    