The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+255x^32+546x^34+913x^36+1126x^38+1246x^40+1274x^42+1198x^44+826x^46+550x^48+188x^50+56x^52+8x^54+4x^56+1x^68

The gray image is a code over GF(2) with n=82, k=13 and d=32.
This code was found by Heurico 1.16 in 5.18 seconds.