The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  1  6  1  1  1 10  1  1  1 12  0  1  6  1  1  1  1  1 10 10 12  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  5  1 12  9 10  1  0  9 15  1  1  3  1  6  5 12 10  6  1  1  1  5  9  5  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  8  8  8  8  0  8  0  0  8  0  8  8  8  8  8  8  0  0  8  0  0  0  0  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  8  0  0  8  8  0  0  8  0  8  0  0  0  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  8  0  8  0  0  8  8  8  8  8  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0  8  8  0  8  0  8  8  8  0  0  0  8  0  0  8  0  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  8  0  8  0  0  0  8  0  8  0  0  0  0  8  0  8  8  0  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+13x^34+32x^35+154x^36+232x^37+717x^38+736x^39+1682x^40+1072x^41+1682x^42+736x^43+711x^44+232x^45+137x^46+32x^47+8x^48+4x^50+3x^52+6x^54+1x^56+1x^58

The gray image is a code over GF(2) with n=328, k=13 and d=136.
This code was found by Heurico 1.16 in 0.48 seconds.