The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+92x^35+188x^36+120x^37+78x^38+174x^39+224x^40+160x^41+108x^42+128x^43+190x^44+138x^45+36x^46+104x^47+135x^48+78x^49+28x^50+12x^51+30x^52+14x^53+6x^54+2x^55+2x^57

The gray image is a code over GF(2) with n=84, k=11 and d=35.
This code was found by Heurico 1.10 in 581 seconds.