The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^32+156x^33+448x^34+842x^35+1452x^36+2412x^37+4677x^38+7336x^39+9542x^40+11348x^41+9996x^42+7238x^43+4820x^44+2536x^45+1298x^46+662x^47+352x^48+184x^49+84x^50+48x^51+24x^52+4x^53+9x^54+2x^55+2x^56

The gray image is a code over GF(2) with n=328, k=16 and d=128.
This code was found by Heurico 1.16 in 39.8 seconds.