The generator matrix

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

generates a code of length 90 over Z4 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+66x^85+90x^86+70x^87+27x^88+28x^89+54x^90+34x^91+25x^92+14x^93+25x^94+6x^95+6x^96+8x^97+9x^98+10x^99+3x^100+4x^101+9x^102+6x^103+2x^104+5x^106+8x^109+2x^111

The gray image is a code over GF(2) with n=180, k=9 and d=85.
This code was found by Heurico 1.16 in 47.3 seconds.