The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  6  1  1 12  1  1 10  1  1  1  1  0  1  1  6  1 10  1  1  1  1  1  1  1  2  1
 0  1  3  6  5  1 12  7  1 10  9  1  1  0  5  1  6  3  1 12 15  1 10  9  0  3  1 12  5  1  0  1  6 15  9 12  3  6  6  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  8  8  8  8  8  0  0  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  8  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  0  0  0  8  0  0  8  8  0  8  8  8  0  8  0  8  0  0  8  8  8  8  0  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  0  8  0  0  8  0  8  0  0  8  8  8  0  8  0  8  0  8  0  0  8  8  0  8  0
 0  0  0  0  0  0  0  8  0  8  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  8  8  8  8  0  8  8  0  0  0  8  8  8  8  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  8  8  8  0  0  8  0  0  0  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+68x^32+44x^33+98x^34+268x^35+320x^36+940x^37+2633x^38+3044x^39+6600x^40+4676x^41+6651x^42+3100x^43+2621x^44+964x^45+306x^46+236x^47+81x^48+32x^49+32x^50+8x^51+34x^52+5x^54+2x^56+3x^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 6.93 seconds.