The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  0  2  1  1  1  8  1  1  1  1  2  2  1  2  1  8  4  1  1  1  2  2  2  1
 0  2  0  6  0  6  0  6 14  4 10  0  6 12 14  2  6  2 14 12  4  6  2 12 12 14 14  2  6  6  8 12  0  2  6  2 14  4  6  8  0
 0  0 12  0  0  0  4  0  4  0  4  8  0  4  8 12  0  8  0  4  4  4  4  0  8  4 12  4  4  8  0 12  4  0  4  4  8 12  8  4  0
 0  0  0 12  0  0  0  0  0  0  0  0  8  8  4 12  4  4  4 12 12  4  8 12  0  8  4  4  8  4 12  4 12  8  0  4 12  8  0  0  0
 0  0  0  0 12  0  4  4  4  8  8 12 12  8  0  0 12  0  4  8  8  0  4 12  0  4 12  4  0  8  8 12  8  0  8 12 12  8 12 12  0
 0  0  0  0  0 12  8  4 12  4  4  4  8  4  0 12  0  4  4  8  4 12  4 12  4  8  0  8  4 12  4  8  0  4  0 12  0  0 12  4  0

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

Homogenous weight enumerator: w(x)=1x^0+62x^32+118x^33+278x^34+410x^35+745x^36+1300x^37+2106x^38+3428x^39+4955x^40+5892x^41+5085x^42+3516x^43+2159x^44+1140x^45+633x^46+420x^47+250x^48+126x^49+81x^50+34x^51+20x^52+9x^54

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 11.8 seconds.