The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+95x^36+241x^38+150x^40+155x^42+99x^44+129x^46+82x^48+41x^50+18x^52+10x^54+3x^56

The gray image is a code over GF(2) with n=84, k=10 and d=36.
This code was found by Heurico 1.16 in 0.0885 seconds.