The generator matrix

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

generates a code of length 90 over Z4 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+54x^81+109x^82+128x^83+135x^84+152x^85+140x^86+144x^87+150x^88+116x^89+112x^90+98x^91+99x^92+72x^93+77x^94+60x^95+53x^96+68x^97+26x^98+44x^99+40x^100+26x^101+31x^102+28x^103+21x^104+18x^105+13x^106+10x^107+10x^108+6x^109+4x^110+3x^112

The gray image is a code over GF(2) with n=180, k=11 and d=81.
This code was found by Heurico 1.10 in 0.312 seconds.