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

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

Homogenous weight enumerator: w(x)=1x^0+102x^32+298x^34+48x^35+520x^36+384x^37+1479x^38+1232x^39+2747x^40+2816x^41+2761x^42+1232x^43+1436x^44+384x^45+475x^46+48x^47+269x^48+100x^50+44x^52+5x^54+1x^56+1x^58+1x^62

The gray image is a code over GF(2) with n=328, k=14 and d=128.
This code was found by Heurico 1.16 in 3.87 seconds.