The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+40x^32+90x^33+247x^34+476x^35+1000x^36+2048x^37+3962x^38+7702x^39+11078x^40+12154x^41+11206x^42+7752x^43+4049x^44+1994x^45+896x^46+416x^47+201x^48+92x^49+67x^50+36x^51+14x^52+6x^53+6x^54+2x^55+1x^60

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 28.5 seconds.