The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+186x^36+252x^37+728x^38+976x^39+1162x^40+1600x^41+1206x^42+1064x^43+570x^44+196x^45+198x^46+8x^47+23x^48+10x^50+4x^52+2x^54+6x^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 0.594 seconds.