The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^32+10x^33+105x^34+80x^35+228x^36+162x^37+271x^38+256x^39+309x^40+342x^41+309x^42+336x^43+228x^44+348x^45+231x^46+288x^47+117x^48+142x^49+79x^50+64x^51+8x^52+18x^53+25x^54+3x^56+2x^57+3x^58+1x^62

The gray image is a code over GF(2) with n=84, k=12 and d=32.
This code was found by Heurico 1.16 in 1.35 seconds.