The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^84+100x^86+63x^88+108x^90+66x^92+32x^94+29x^96+12x^98+8x^100+4x^102+9x^104+2x^112+8x^116

The gray image is a code over GF(2) with n=180, k=9 and d=84.
This code was found by Heurico 1.16 in 1.77 seconds.