The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+132x^32+394x^34+128x^35+1396x^36+1536x^37+4656x^38+8064x^39+9838x^40+13312x^41+9684x^42+8064x^43+4854x^44+1536x^45+1312x^46+128x^47+357x^48+82x^50+53x^52+8x^56+1x^68

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 26.7 seconds.