The generator matrix

 1  0  1  1  1 14  1  1  0  1  1 14  1  1  0  1  6  1  1  1  2  1  1  1  4  8 10  1  1 10  4  1  1  1  1  1  2  0  0 14  1
 0  1 11  6  1  1  0  3  1  6  5  1 10  5  1 11  1  0 14 13  1 10 15  3  1  1  1 11 12  1  2  8  7  9  8 14  4  1  1  1  0
 0  0 12  0  0  0  0  4  4 12  0  4  8  4  0  4  4  4  4 12 12  4  4  8  0  8 12  0 12  0  8  4  0  4  4  8 12  4  8 12  0
 0  0  0 12  0  0  0  0  0  0  8  8  4  4 12  4 12 12  4  4  8  0 12 12  0  4  4 12  4  4  8  4  4  4  0  0 12 12 12  8  0
 0  0  0  0  4  4 12  4  4  4  8  0 12  8  4 12  8  8 12  4  0 12  0 12 12  8  0  0  0  4  4  4  8  0  8  4 12  0 12  8  0
 0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  0  8  8  8  0  0  8  8  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  8  8  0  8  0  8  0  0  8  8  0  8  0  8  8  8  0  8  0  0  8  0  0  8  0  0  8  8  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+71x^32+116x^33+207x^34+552x^35+983x^36+2014x^37+4724x^38+7114x^39+11308x^40+11106x^41+11660x^42+7194x^43+4614x^44+2006x^45+992x^46+462x^47+164x^48+114x^49+68x^50+38x^51+11x^52+4x^53+12x^54+1x^66

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 27.6 seconds.