The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  2  8  4  0  2  0  1  2  2  2 12  0  1  1  1 12  2  1  2
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2  2 14  4 12  2 10 12  0  4 10 14  8  4 14  6  0  2  4 10  0
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14  4 14  2  0  8  6  2  6 10  0  6 12  2  0 12 12  2 14 10  2
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12 14 12  0  2  8  6  8  0  6  2  0  2 14  6 14  0  6  4  4  2
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0 12  8  0  8  8  8  4 12  0 12  4 12 12 12  4  4  4 12  0  8

generates a code of length 41 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+186x^34+420x^35+944x^36+1548x^37+2150x^38+3844x^39+4439x^40+5700x^41+4454x^42+4060x^43+2105x^44+1412x^45+774x^46+380x^47+244x^48+44x^49+48x^50+11x^52+4x^54

The gray image is a code over GF(2) with n=328, k=15 and d=136.
This code was found by Heurico 1.16 in 10.2 seconds.