The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  2  2  1  2  1  1  1  1  0  0  0  0  0  1  1  1  2  1  1  0  1  1  0  1  0  1  2  0  1
 0  1  0  0  0  1  1  1  2  0  3  3  1  2  0  1  0  0  3  3  2  1  1  0  1  3  1  3  1  2  0  2  2  2  0  2  0  0  2  1  0
 0  0  1  0  1  1  0  1  0  3  3  2  2  1  3  1  3  0  1  2  1  3  3  1  1  2  3  2  2  2  0  1  0  1  2  1  2  3  1  0  0
 0  0  0  1  1  0  1  1  1  0  1  2  3  1  0  2  3  3  3  3  1  3  2  3  0  2  1  2  0  3  0  2  0  2  1  3  1  3  1  2  2
 0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  0  2  0  2  2  2  0  2  2  2  2  2  0  0  0  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0  2  2  2  2  0  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  0  2  2  2  2  2  0  0  2  2  0  2  0  0  2  0  0  2
 0  0  0  0  0  0  0  2  2  2  0  2  2  2  2  2  0  2  2  2  2  0  2  0  0  0  2  2  0  0  2  2  0  0  2  0  2  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+47x^32+100x^33+163x^34+186x^35+242x^36+276x^37+277x^38+290x^39+312x^40+322x^41+307x^42+358x^43+277x^44+242x^45+210x^46+166x^47+120x^48+82x^49+65x^50+24x^51+16x^52+2x^53+1x^54+8x^56+1x^58+1x^60

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 1.21 seconds.