The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+74x^32+78x^34+293x^36+220x^38+403x^40+296x^42+315x^44+164x^46+137x^48+10x^50+47x^52+9x^56+1x^60

The gray image is a code over GF(2) with n=82, k=11 and d=32.
This code was found by Heurico 1.16 in 0.361 seconds.