The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+243x^36+128x^37+816x^38+768x^39+1578x^40+1280x^41+1424x^42+768x^43+826x^44+128x^45+180x^46+25x^48+8x^50+11x^52+4x^54+4x^56

The gray image is a code over GF(2) with n=328, k=13 and d=144.
This code was found by Heurico 1.16 in 0.584 seconds.