The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  1  6  1  1  1 12  8  1  1  1  1  1  2  1  0  1  2  1  1  1  1 14  1  2  8  2  4  8  1
 0  1 11  6  5  1 11  0  1  5  1  6 13  1  8  6  1  1  1  3  1  4  2 15  1 10  1 12  1 15  3  2 11  1 15 14  1  8  4  1  0
 0  0 12  0  0  0  0  4  4 12 12  0  8  8  8  4 12  4  0  4  0 12 12  8  8 12  8  4  4  4  8  8  4 12 12  4  4  8  4 12  0
 0  0  0 12  0  4  4  4 12 12  8  0  4  8  4  4  0 12  4 12 12  8  0  0 12 12  0  4  8  4  0 12  8  8 12  0  8  4  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  8  8  0  8  0  8  8  8  8  0  0  0  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  0  8  8  8  8  0  8  8  0  8  0  0  0  8  8  0  0  0  8  8  8  8  0  0  0  8  8
 0  0  0  0  0  0  8  0  8  0  0  8  0  8  8  0  0  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  8  0  8  0  0  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  0  0  8  0  8  8  8  8  0  8  8  8  0  0  8  0  8  0  8  8  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+62x^32+134x^33+260x^34+490x^35+942x^36+2474x^37+4111x^38+8134x^39+10169x^40+12276x^41+9507x^42+8280x^43+4502x^44+2436x^45+900x^46+472x^47+175x^48+86x^49+64x^50+30x^51+20x^52+2x^53+5x^54+2x^55+1x^56+1x^58

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 27.3 seconds.