The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  2  1  1  0  1  2  2  1  1  0  1  0  1  1  2  2  1  1  1  1  1  1  0  0  0  1  1  0  1  1  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1  2  2  1  1  0  3  2  2  1  3  1  1  0  1  3  0  2  0  2  2  1  1  3  3  1  2  2  0
 0  0  1  0  0  0  1  1  1  0  2  2  3  1  0  1  0  1  2  3  1  1  1  0  2  1  1  1  2  2  0  3  0  1  3  1  2  1  2  3  1  1
 0  0  0  1  0  1  1  0  1  1  0  3  2  3  1  2  3  2  0  1  0  3  1  0  1  3  1  0  3  0  1  3  0  0  2  1  1  0  1  1  2  1
 0  0  0  0  1  1  0  1  1  2  3  1  0  3  1  0  0  2  3  2  1  2  0  2  1  3  2  3  2  2  2  2  2  2  3  2  3  3  3  1  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  0  0  2  0  2  2  2  0  0  0  2  0  2  2  2  0  2  2  0  0  0  2  2  0  2
 0  0  0  0  0  0  2  0  2  2  0  2  0  0  0  0  2  2  2  2  2  0  0  0  0  0  0  0  2  2  2  0  0  2  2  2  2  0  2  0  2  2
 0  0  0  0  0  0  0  2  2  0  2  2  0  0  2  2  2  0  2  2  2  2  0  0  0  0  2  2  2  0  0  0  2  2  2  0  0  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+82x^32+98x^33+208x^34+266x^35+381x^36+468x^37+506x^38+572x^39+562x^40+640x^41+570x^42+660x^43+624x^44+588x^45+558x^46+448x^47+311x^48+238x^49+190x^50+98x^51+83x^52+16x^53+16x^54+4x^55+3x^56+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 5.12 seconds.