The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+72x^35+115x^36+74x^37+69x^38+84x^39+117x^40+96x^41+34x^42+60x^43+92x^44+52x^45+16x^46+28x^47+49x^48+32x^49+6x^50+12x^51+9x^52+2x^53+3x^54+1x^56

The gray image is a code over GF(2) with n=82, k=10 and d=35.
This code was found by Heurico 1.16 in 22.9 seconds.