The generator matrix

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

generates a code of length 90 over Z4 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+19x^84+54x^85+63x^86+72x^87+43x^88+36x^89+39x^90+30x^91+29x^92+24x^93+22x^94+10x^95+14x^96+12x^97+9x^98+4x^99+4x^100+2x^101+7x^102+4x^103+3x^106+4x^107+2x^111+2x^112+1x^114+2x^123

The gray image is a code over GF(2) with n=180, k=9 and d=84.
This code was found by Heurico 1.10 in 0.016 seconds.