The generator matrix

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

generates a code of length 86 over Z4 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+2x^90+8x^91+3x^92+1x^94+1x^98

The gray image is a code over GF(2) with n=172, k=4 and d=90.
This code was found by Heurico 1.16 in 0.139 seconds.