The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  2  4  1  0  1  1  1  1  2  1  1  1  4  2  1  1  2  1  1
 0 12  0 12  0 12  0 12  0  4  8  0 12 12  4  0  8 12  0  8  0 12 12 12  0  4 12  8  0 12 12  4  8  8 12 12 12 12 12  0  0
 0  0  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  0  8  8  0  0  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  0  8  0
 0  0  0  8  0  0  0  0  0  8  0  0  0  8  8  0  0  0  8  8  8  0  8  0  8  0  0  8  0  8  8  8  0  0  8  8  0  8  0  8  8
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  0  0  8  8  0  8  8  0  0  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  8  8  8  0  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  8  8  8  8  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  0  0  0  8  8  0  0  8  8  8  0
 0  0  0  0  0  0  0  8  0  8  0  0  8  8  0  8  8  8  0  0  8  0  8  8  0  0  0  0  0  8  8  0  8  0  8  0  0  8  8  8  8
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  8  8  0  0  0  8  0  0  8  8  0  0  0  8  8  8  0  0  8  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+46x^32+153x^34+16x^35+188x^36+96x^37+411x^38+752x^39+1764x^40+1344x^41+1776x^42+752x^43+420x^44+96x^45+178x^46+16x^47+116x^48+37x^50+16x^52+3x^54+8x^56+2x^58+1x^64

The gray image is a code over GF(2) with n=328, k=13 and d=128.
This code was found by Heurico 1.16 in 1.02 seconds.