The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  0  1  8  2  1 12  1  1  2  0  1  8  1  2  2  2  1  2  1  1  0  1  1  1
 0  2  0  6  0  6  0  2  4  6 12 10 12  2  4 14  6  2 14  2 14  8  2  2  0 10  2 14  2 10 10 10  6  4 12  6 12  0 14 10  0
 0  0 12  0  0  4  4  4  4  0  8  4 12  8  0  0  8 12  4 12  4  4  4  8  0 12  4 12  0  4  0  4  0  8  4 12  8  4  0 12  0
 0  0  0 12 12  4  4  0  8  8  8  4 12 12  4  4  0 12  8  0  8  8 12  4  8 12  4  0  4 12  0 12  0 12 12  4  0  0 12  4  0
 0  0  0  0  8  0  0  0  8  8  8  0  8  0  0  0  8  8  0  0  8  0  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0  0  0  8  0
 0  0  0  0  0  8  0  0  0  0  8  0  8  0  0  8  8  0  8  8  8  0  8  0  0  0  0  8  0  8  8  8  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  8  0  8  0  8  8  8  0  0  0  8  8  0  8  0  0  8  8  8  8  0  0  0  8  0  8  0  0  8  8  8  8
 0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  8  0  0  0  8  0  8  8  8  8  8  0  0  8  8  8  8  8  8  0  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+59x^32+120x^33+247x^34+326x^35+809x^36+960x^37+2776x^38+3138x^39+5392x^40+5090x^41+5296x^42+3390x^43+2698x^44+930x^45+840x^46+294x^47+232x^48+62x^49+47x^50+20x^51+21x^52+6x^53+8x^54+4x^56+2x^58

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 11.5 seconds.