The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  1  2  2
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  2  2  2  0  2  2  2  0  2  0  2  0  2  2
 0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  2  0  2  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  2  2  2  0  2  0  0  2  0  2  2  0  0  0  0  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  2  2  0  0  0  0  0  2  0  0  2  2  0  0  2  0  0  0  2  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  0  0  2  2  0  0  0  2  2  2  0  0  2  0  0  0  2  0  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  0  0  2  2  0  2  0  2  0  2  0  2  0  0  2  0  2  2  2  2  0  0
 0  0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  0  0  2  0  2  2  0  0  2  2  2  0  0  2  2  0  0  2  2  0  0  2  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  2  0  0  0  2  2  2  2  0  0  0  2  0  2  0  0  0  2  2  2  2  0  0
 0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  2  0  2  2  0  0  2  2  0  2  2  2  0  0  0  2

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

Homogenous weight enumerator: w(x)=1x^0+175x^32+20x^34+257x^36+160x^38+463x^40+264x^42+375x^44+64x^46+183x^48+4x^50+71x^52+9x^56+1x^60+1x^64

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 68.9 seconds.