The generator matrix

 1  0  0  1  1  1  2  4  1  1  0 14  1  1  4  1  1 14  1  6  1  1  1  2  1 14  1  1  1  8  1  0  2  1  0  1 12  1  1  1  2  1
 0  1  0  2  1 11  1  6 14  9  1  1 15  6  1 12  8  1  1  0  3 14  0  1  7  2  9 13  2  1 10  1 14 11 12 14  1  7  9  0 14 12
 0  0  1  1  3  4  5  1  6  2  9  0  5  3  2 14 11  7  4  1 11  6  9  4  1  1  1 15 11 11  7  9  1  7  1  6 15  4  3  6  1  2
 0  0  0  4  0  0 12 12  4 12  8  4 12 12 12 12  8  4 12  4 12  0 12  8  8  0  0 12  0 12  4  8  4  8  4 12 12  4 12  8  8  4
 0  0  0  0  4  8  8  8  8  0  0  0  4  4 12 12 12  4 12 12  0 12  0  4  8 12  4  8  0  4  4  4 12  8  0 12  0  0 12 12  4  0

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

Homogenous weight enumerator: w(x)=1x^0+70x^35+338x^36+1176x^37+2524x^38+4578x^39+7900x^40+10226x^41+12280x^42+9718x^43+8037x^44+4846x^45+2279x^46+952x^47+361x^48+150x^49+62x^50+24x^51+3x^52+2x^53+7x^54+2x^55

The gray image is a code over GF(2) with n=336, k=16 and d=140.
This code was found by Heurico 1.16 in 22.6 seconds.