The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^32+118x^33+195x^34+296x^35+357x^36+414x^37+501x^38+566x^39+584x^40+658x^41+639x^42+686x^43+634x^44+524x^45+507x^46+454x^47+326x^48+238x^49+186x^50+106x^51+60x^52+30x^53+20x^54+4x^55+7x^56+2x^57+1x^60

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 5.14 seconds.