The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  1  1  2  2  1  1  2  1  1  1  1  2  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  2  2  2  2  2  0  0  2  2  2  2  0  2  2  0  0  2  0  2  0  0
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  0  0  2  0  0  2  2  0  0  2  0  2  0  0  0  2  2  2  0  0  0
 0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  2  0  0  2  2  0  0  0  0  0  2  2  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  2  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  0  0  2  2  2  2  0  0  0  0  0  0  2  0  0  2  0  2  2  0  0
 0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  0  2  2  2  0  0  2  0  2  0  2  2  2  0  0  2  0  0  2  0  0
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  2  2  0  2  0  2  2  0  2  2  0  0  0
 0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  0  2  0  0  0  0  0  2  0  0  2  0  2  2  0  2  2  2  2  0  0  2  2

generates a code of length 42 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+56x^32+2x^34+124x^36+56x^38+217x^40+140x^42+205x^44+56x^46+95x^48+2x^50+51x^52+15x^56+3x^60+1x^68

The gray image is a code over GF(2) with n=84, k=10 and d=32.
This code was found by Heurico 1.16 in 0.13 seconds.