The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^36+170x^38+197x^40+138x^42+148x^44+82x^46+79x^48+54x^50+24x^52+4x^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 0.12 seconds.