In fact C(NO2)4 does exist and chemically it's commonly obtained by nitration of acetic anhydride...I can't give much comments because of forum rules for not detail debating explosive synthesis
If you are more detail interested just google it
As a chemical this is really interesting compound with four NO2 to a single carbon. May be my colegues with much knowldedge in quant chemistry could give interesting structure-property relations this handsome molecule and it's relations with others