The generator matrix

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

generates a code of length 41 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+254x^35+534x^36+1318x^37+2214x^38+4114x^39+4913x^40+6110x^41+5070x^42+4106x^43+2070x^44+1186x^45+482x^46+274x^47+61x^48+26x^49+10x^50+16x^51+4x^52+4x^55+1x^56

The gray image is a code over GF(2) with n=328, k=15 and d=140.
This code was found by Heurico 1.16 in 7.28 seconds.