The generator matrix

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

generates a code of length 90 over Z4 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+66x^83+77x^84+82x^85+133x^86+88x^87+79x^88+86x^89+44x^90+42x^91+41x^92+42x^93+38x^94+32x^95+34x^96+18x^97+18x^98+8x^99+10x^100+18x^101+15x^102+8x^103+8x^104+6x^105+2x^106+10x^107+4x^108+2x^109+6x^110+2x^112+2x^113+2x^115

The gray image is a code over GF(2) with n=180, k=10 and d=83.
This code was found by Heurico 1.10 in 0.141 seconds.