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  2  2  2  1  2  2  1  1  1  1  1  1  1  2  1  2  2  1
 0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  0  0  0  0  2  2  2  2  2  2  2  0  2  0  2  0  2  2  2  0  2  2  0  0  0
 0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  0  0  2  0  0  0  2  0  2  2  2  2  0  2  2  0  0  0  0  0
 0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  0  2  2  0  2  0  2  2  0  0  2  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  2  0  0  0  0  0  2  2  2  2  2  0  0  0  2  2  2  0  0  2  2  0
 0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2  0  0  2  2  2  0  0  2  0  2  0  2  0  2  2  0  0  2  2  0
 0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  2  2  0  2  2  0  2  2  2  0  2  0  0  0  0  2  2  0  0  2  2  0  2  2  0
 0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  0  2  2  2  2  2  2  0  2  0  0  0  2  2  0  0  2  0  0  0  2  2  2  0
 0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  0  0  2  0  0  0  0  0  0  2  2  0  0  2  2  2  0  2  2  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+52x^32+2x^33+40x^34+16x^35+77x^36+56x^37+57x^38+112x^39+49x^40+140x^41+39x^42+112x^43+38x^44+56x^45+62x^46+16x^47+31x^48+2x^49+39x^50+5x^52+17x^54+3x^56+1x^58+1x^66

The gray image is a code over GF(2) with n=82, k=10 and d=32.
This code was found by Heurico 1.16 in 0.13 seconds.