The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^35+458x^36+1018x^37+2638x^38+4286x^39+8475x^40+9218x^41+13215x^42+9258x^43+8547x^44+4342x^45+2533x^46+826x^47+428x^48+134x^49+41x^50+24x^51+11x^52+8x^53+5x^54

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 22.4 seconds.