The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+88x^35+487x^36+1380x^37+2611x^38+3680x^39+5043x^40+6324x^41+4994x^42+3830x^43+2447x^44+1174x^45+436x^46+140x^47+80x^48+16x^49+22x^50+6x^51+6x^52+2x^53+1x^54

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 5.66 seconds.