The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+286x^84+351x^88+165x^92+111x^96+48x^100+35x^104+13x^108+14x^112

The gray image is a code over GF(2) with n=180, k=10 and d=84.
This code was found by Heurico 1.16 in 5.7 seconds.