The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  2  1  1  1  1  2  0  0  0  0  1  0  2  2  1  1  0  1  1  0  1  1  2  1  0  1  1  0  0
 0  1  0  1  0  1  1  0  0  1  3  1  2  1  0  2  1  3  1  1  1  1  0  2  0  0  2  3  0  1  2  0  1  3  1  1  3  1  0  3  1  0
 0  0  1  1  1  0  1  0  1  1  0  2  1  3  3  2  3  0  1  0  0  3  1  1  1  1  1  0  1  0  2  2  2  3  1  2  0  1  3  0  0  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  0  2  2  0  2  2  0  0  0  0  2  0  2  0  2  0  2  0  0  0
 0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  0  0  2  2  0  0  0  2  0  0  0  2  0  2  0  0  2  0  0  2  0  0  2  2  0  2
 0  0  0  0  0  2  0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  0  0  2  2  2  0  0  2  0  0  2  0  0  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  2  0  0  2  0  0  2  2  2  2  2  0  2  0  2  2  0  2  2  2  2  2  0  2
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  0  0  2  2  0  0  0  0  2  0  2  2  2  0  2  2  0  2  2  0  2  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  2  0  0  2  0  0  2  0  2  2  2  2  0  2  2  2  2  0  0  0  0  0  2  2  2  2  0  2  0  2
 0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  0  2  0  0  2  0  2  2  0  0  2  2  2  0  2  2  0  2  0  2  0  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+204x^32+300x^34+753x^36+864x^38+1356x^40+1224x^42+1345x^44+944x^46+751x^48+236x^50+171x^52+16x^54+23x^56+3x^60+1x^72

The gray image is a code over GF(2) with n=84, k=13 and d=32.
This code was found by Heurico 1.16 in 5.47 seconds.