The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+13x^36+26x^37+38x^38+40x^39+20x^40+18x^41+18x^42+16x^43+23x^44+14x^45+4x^46+8x^47+2x^48+6x^49+2x^50+2x^52+2x^54+1x^56+2x^60

The gray image is a code over GF(2) with n=82, k=8 and d=36.
This code was found by Heurico 1.16 in 0.0143 seconds.