The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+68x^35+281x^36+624x^37+1322x^38+2212x^39+4104x^40+4788x^41+5976x^42+4846x^43+4216x^44+2158x^45+1204x^46+528x^47+247x^48+96x^49+40x^50+26x^51+15x^52+14x^53+2x^54

The gray image is a code over GF(2) with n=336, k=15 and d=140.
This code was found by Heurico 1.16 in 7.47 seconds.