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  1  1  1  1  1  1  1  1  4  2  4  2  1  1  1  2  1  1
 0 12  0  0  0  0  0  0  0  0  0  0 12  4 12  4  8  4  4 12  8  8  0  8  0  8  4 12  0  4  8  0 12  8  0 12 12  4  4 12 12
 0  0 12  0  0  0  0  0  0  0  0  4  0 12 12  4 12  8  8  4  4  0  8  8 12 12  8  0 12  0  8  8 12  4 12  4 12  8  0  4  4
 0  0  0 12  0  0  0  4 12 12  8  4 12  8 12 12  0  8 12  8 12  4  0  0  8 12  8  0  8 12  8  4  0 12  8 12  4  0 12 12  4
 0  0  0  0 12  0  4  4  4  0  8  0  0  0  0  0  0  8 12  4  4  0  8 12 12  8 12 12  4  8  0 12  0  8  0  0  4  8  8 12  4
 0  0  0  0  0 12  4  8  4  4  0  8  8  8  0 12  4 12  8  0  4  8  4  8 12 12  8 12  0  4  8 12 12 12  8  4  4 12  0  0 12
 0  0  0  0  0  0  8  8  0  8  8  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+252x^32+592x^34+905x^36+64x^37+1372x^38+2048x^39+7048x^40+8064x^41+7158x^42+2048x^43+1518x^44+64x^45+874x^46+503x^48+170x^50+73x^52+10x^54+3x^56+1x^72

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 16.6 seconds.