The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+210x^36+320x^40+311x^44+137x^48+36x^52+6x^56+3x^60

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 17.1 seconds.