The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2 12  2  0  2  2  1  1  1  8  1  1  1  1  1  1  2  2  1  4  1  2  1  2  1
 0  2  0  2  0 10 12 14  4  4  6  6 12  0  2  2 10  2  6  2  2  2 14 12  0  4  2  8  6 12  2  4  4  2  0  4  6  2  6  8  0
 0  0  2  2 12 14  6  4  4  2  6  0  0  6  4 10 14  6  0  0  2  4  2  6  0  2  8 14  8  0 10 10 14  4  8  2  0  4 14  4  0
 0  0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  0  8  8  8  0  8  8  0  8  0  8  8  0  8  8  8  0  0  8  8  0  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  8  0  8  0  8  0  8  8  0  0  8  8  0  0  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  8  0  0  8  0  8  0  8  8  0  0  0  8  8  8  0  0  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  8  8  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  8  0  0  8  0  8  8  0  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  8  0  8  0  0  8  0  8  0  8  8  8  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+52x^32+68x^33+264x^34+478x^35+587x^36+1432x^37+1203x^38+4726x^39+4011x^40+7110x^41+4085x^42+4658x^43+1255x^44+1534x^45+518x^46+354x^47+219x^48+94x^49+66x^50+24x^51+13x^52+2x^53+7x^54+5x^56+1x^58+1x^60

The gray image is a code over GF(2) with n=328, k=15 and d=128.
This code was found by Heurico 1.16 in 9.92 seconds.