The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+32x^73+50x^74+162x^75+306x^76+360x^77+533x^78+640x^79+763x^80+932x^81+1023x^82+1172x^83+1379x^84+1424x^85+1517x^86+1702x^87+1670x^88+1714x^89+1722x^90+1812x^91+1895x^92+1730x^93+1625x^94+1474x^95+1364x^96+1268x^97+954x^98+838x^99+777x^100+556x^101+377x^102+290x^103+232x^104+146x^105+112x^106+94x^107+51x^108+26x^109+19x^110+6x^111+10x^112+4x^113+3x^114+2x^115+1x^126

The gray image is a code over GF(2) with n=180, k=15 and d=73.
This code was found by Heurico 1.10 in 154 seconds.