The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+227x^32+608x^34+911x^36+1070x^38+1285x^40+1206x^42+1236x^44+882x^46+502x^48+194x^50+61x^52+8x^54+1x^72

The gray image is a code over GF(2) with n=82, k=13 and d=32.
This code was found by Heurico 1.10 in 2.06 seconds.