The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+319x^32+792x^34+1363x^36+1794x^38+2512x^40+2688x^42+2640x^44+1968x^46+1328x^48+612x^50+268x^52+78x^54+16x^56+4x^58+1x^68

The gray image is a code over GF(2) with n=84, k=14 and d=32.
This code was found by Heurico 1.16 in 45.9 seconds.