The generator matrix

 1  0  0  0  0  1  1  1  2  0  1  1  1  0  0  1  1  2  2  1  1  1  1  0  1  0  1  0  0  2  1  1  1  1  2  0  2  1  0  2  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1  2  2  2  1  1  3  1  1  2  2  1  0  0  2  1  1  3  2  2  0  1  1  1  2  1  1  2
 0  0  1  0  0  0  1  1  1  1  3  2  0  0  1  3  1  1  0  3  2  3  0  1  2  1  2  1  3  1  0  1  0  2  2  0  3  2  2  3  0
 0  0  0  1  0  1  1  0  3  1  2  3  0  3  0  3  2  2  0  1  1  2  3  0  0  0  0  1  1  1  3  0  2  2  2  3  1  0  2  3  0
 0  0  0  0  1  1  0  1  1  2  2  0  3  1  0  2  1  1  2  3  2  0  3  0  1  2  0  3  2  3  1  2  3  0  0  0  2  3  1  1  1
 0  0  0  0  0  2  0  2  0  0  2  2  2  0  2  2  0  2  0  0  0  0  2  0  0  2  2  0  0  2  0  0  0  2  2  2  2  0  0  0  0
 0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  0  0  0  2  0  0  0  2  2  2  0  2  0  0  0  0  2  2  0  2  0  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+58x^32+84x^33+146x^34+220x^35+234x^36+282x^37+283x^38+284x^39+326x^40+308x^41+292x^42+320x^43+278x^44+268x^45+226x^46+172x^47+110x^48+80x^49+74x^50+28x^51+16x^52+2x^53+3x^54+1x^64

The gray image is a code over GF(2) with n=82, k=12 and d=32.
This code was found by Heurico 1.16 in 1.18 seconds.