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  1  2  2  1  1  1  2  1  1  1  1  1  2  1  1  1
 0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  8  8  8  8  8  0  8  0  8  0  0  8  8  0  8  8  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  0  8  8  8  8  8  0  0  0  0  8  0  8  8  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  8  0  8  8  0  0  8  0  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  0  8  8  0  8  8  8  8  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  8  8  8  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  0  0  0  8  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  8  0  0  0  0  0  8  0  8  8  0  0  8  8  0  8  0  8  0  8  0

generates a code of length 41 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+60x^32+43x^34+8x^35+59x^36+48x^37+43x^38+120x^39+58x^40+3232x^41+57x^42+120x^43+42x^44+48x^45+56x^46+8x^47+25x^48+41x^50+11x^52+12x^54+3x^58+1x^70

The gray image is a code over GF(2) with n=328, k=12 and d=128.
This code was found by Heurico 1.16 in 0.319 seconds.