The generator matrix

 1  0  0  0  0  0  1  1  1  2  0  0  0  2  1  1  1  2  1  1  2  1  0  1  1  2  1  1  1  0  0  1  1  1  2  1  0  1  1  2  1  0
 0  1  0  0  0  0  0  0  0  0  1  1  1  2  1  3  1  1  0  3  2  1  1  3  2  1  3  3  1  0  0  0  3  2  0  1  0  2  1  1  3  1
 0  0  1  0  0  0  0  0  0  0  0  0  2  0  2  0  2  2  2  0  2  2  0  2  2  2  3  1  3  1  1  3  1  3  1  1  0  1  1  3  3  1
 0  0  0  1  0  0  0  1  1  1  1  2  1  1  3  2  1  1  3  1  1  1  0  0  0  1  2  1  3  0  1  0  2  1  3  2  2  0  0  0  3  1
 0  0  0  0  1  0  1  1  0  3  1  3  0  3  3  3  0  3  3  0  2  1  2  3  1  2  0  1  0  2  1  2  1  3  0  3  1  3  0  0  1  2
 0  0  0  0  0  1  1  0  1  1  2  0  2  0  3  3  1  3  1  2  3  0  3  0  0  3  0  2  3  2  3  3  0  3  2  1  2  3  1  3  1  1
 0  0  0  0  0  0  2  0  2  0  0  2  2  2  2  0  0  0  0  0  2  0  2  2  0  0  0  2  2  2  0  2  0  2  0  2  2  0  2  0  0  2
 0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  0  2  2  2  2  0  0  2  2  2  0  2  2  0  0  0  2  0  0  2  0  2  2  2  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+318x^32+800x^34+1349x^36+1820x^38+2494x^40+2650x^42+2666x^44+1992x^46+1332x^48+596x^50+270x^52+76x^54+14x^56+2x^58+2x^60+1x^64+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 53.1 seconds.