The generator matrix

 1  0  0  0  0  0  0  0  1  1  1  2  1  1  0  1  1  0  2  1  1  0  1  0  1  2  1  2  0  1  2  2  1  1  0  1  1  1  1  1  1  0  2  0  1  1  2  1  0  0  1  0  0  1  1  2  0  1  2  0  2  2  1  0  1  1  2  1  1  1  0  1  1  2  0  1  0  1  1  0  1  2  2  0  2  2  0  2  1  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  0  0  0  2  2  0  0  2  2  2  2  0  2  2  2  2  2  0  0  0  1  1  1  1  1  3  3  1  1  1  1  1  1  1  1  1  3  3  1  3  1  3  1  1  1  1  1  1  1  3  3  1  0  0  1  2  1  1  1  2  2  2
 0  0  1  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  0  2  2  0  0  2  0  2  0  0  0  2  2  2  2  3  1  3  1  3  3  3  1  1  1  1  1  1  1  3  1  3  0  1  0  2  2  1  2  3  1  1  2  1  2  0  1  2  3  2  1  0  3  2  1  1  2  0  2  3  1  3  2  1  2  1  3  2  0  1  2  2
 0  0  0  1  0  0  0  0  0  0  0  0  2  2  0  0  0  2  2  3  1  1  1  1  1  1  3  1  1  1  1  1  3  3  1  2  2  3  3  1  1  3  2  0  2  1  3  2  0  2  3  0  0  1  0  3  2  1  2  3  1  2  0  3  0  2  1  3  0  1  1  2  0  1  2  1  1  3  3  3  1  2  1  2  2  3  3  2  3  0
 0  0  0  0  1  0  0  0  0  0  0  0  3  1  1  1  1  1  1  0  0  0  2  2  2  2  1  1  3  1  3  1  1  1  1  2  0  3  1  3  2  1  1  3  3  2  0  0  2  1  2  0  2  1  0  1  0  2  3  3  1  2  3  3  0  2  0  0  0  3  1  1  1  1  1  3  1  2  3  0  2  2  2  2  1  2  0  0  3  3
 0  0  0  0  0  1  0  0  2  1  3  1  1  1  2  0  0  3  3  1  1  2  2  1  2  1  1  3  0  1  3  0  0  2  0  2  0  0  3  3  2  3  0  1  1  3  3  2  1  1  0  2  3  2  3  1  3  1  0  1  3  2  3  1  1  3  0  2  1  0  3  3  2  0  2  1  1  0  0  3  2  0  0  1  1  2  1  2  0  2
 0  0  0  0  0  0  1  0  3  1  2  3  0  1  1  1  2  3  0  0  1  1  1  3  2  0  3  1  2  0  2  3  3  2  2  2  0  1  0  3  3  2  1  2  3  1  1  3  1  1  1  1  0  1  3  0  3  0  0  1  1  3  3  1  2  2  1  2  2  1  3  0  0  2  3  2  2  3  3  0  1  2  1  3  2  2  2  3  0  0
 0  0  0  0  0  0  0  1  1  2  3  3  0  1  3  0  1  2  1  0  1  3  0  2  1  1  2  3  1  3  2  2  1  0  1  3  2  1  1  0  0  2  3  1  1  3  0  3  3  2  3  2  3  0  3  0  0  1  3  0  3  3  2  2  0  2  2  0  2  2  0  1  0  0  1  0  3  0  0  0  1  0  1  2  2  0  2  1  0  2

generates a code of length 90 over Z4 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+64x^73+252x^74+366x^75+533x^76+740x^77+955x^78+1238x^79+1434x^80+1778x^81+1977x^82+2294x^83+2592x^84+2776x^85+3068x^86+3328x^87+3509x^88+3652x^89+3735x^90+3850x^91+3802x^92+3328x^93+3291x^94+3076x^95+2693x^96+2390x^97+1990x^98+1706x^99+1329x^100+1016x^101+878x^102+632x^103+381x^104+312x^105+203x^106+136x^107+95x^108+60x^109+32x^110+14x^111+14x^112+12x^113+3x^114+1x^148

The gray image is a code over GF(2) with n=180, k=16 and d=73.
This code was found by Heurico 1.13 in 315 seconds.