The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+84x^37+156x^38+282x^39+312x^40+436x^41+274x^42+272x^43+129x^44+56x^45+17x^46+22x^47+4x^48+1x^52+1x^54+1x^64

The gray image is a code over GF(2) with n=328, k=11 and d=148.
This code was found by Heurico 1.16 in 0.0595 seconds.