The generator matrix

 1  0  1  1  1  4  1  2  1  1  6  1  1  1  1  4  4  1  1 14  1  6  1  1  1 14  1 10  8  2 12  2  1  1  1 14  1  1  1  8  8  1
 0  1  1  0  3  1 15  1 14  5  1  4 10 15  4  1  1  5 11  1  6  1  6  1 13  1  7  1  1  1  2  4  8 15  0  1  7  6 12  1  2  8
 0  0  2  6  0  2  6  2  4  0  8 12  2  0 14  6  0  4  6  6 12  4  6  8 14  0 10 14 12 14  6 14 10  8  6  2 10  4  0 14  6  8
 0  0  0 12  0  0  8  8  0  8  8  8  4  8  4  4  4  4 12  4 12  4  0  4 12 12  8 12  0  8  8 12  0 12  0  0  0  0 12 12 12 12
 0  0  0  0  8  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  8  0  0  0  8  8  0  0  8  8  8  8  8  8  0  8  0  0  0  8  8  8
 0  0  0  0  0  8  8  0  8  0  0  8  0  8  8  0  0  8  8  8  0  8  0  8  0  8  8  8  8  8  8  8  8  0  8  0  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+40x^35+270x^36+566x^37+1289x^38+2534x^39+3625x^40+5490x^41+5010x^42+5826x^43+3700x^44+2306x^45+1176x^46+554x^47+203x^48+78x^49+70x^50+6x^51+6x^52+8x^53+7x^54+3x^56

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 7.43 seconds.