The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  2  8  4  0  2  0  1  2  2  2  1  2  2  1  2  2  2  4  1  8
 0  2  0  0  0  2 14  2  4 12 14 10 12 14 12 14  4 14  0  4  2  2 14  4 12  2 10 12  0  4 10  2  6  4  4 14 10 14  2  2 12  4
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  4  8  8  4  2 14  4 14  2  0  8  6  2  6 10  0  0  6  4  4  6  2 14 14 14 10  2
 0  0  0  2  2  8  2  6 14  4  4 14 14 10 12  4 10 14 12  6 12 14 12  0  2  8  6  8  0  6  2  0 10  2 10  8  2  8  8 10  0  4
 0  0  0  0  4  0  4 12 12 12 12  8  8  0 12 12 12  0  0  4  0 12  8  0  8  8  8  4 12  0 12  4 12  8  4  4  4  4  0  0  4 12

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

Homogenous weight enumerator: w(x)=1x^0+210x^35+495x^36+912x^37+1531x^38+2520x^39+3509x^40+4928x^41+4853x^42+4716x^43+3439x^44+2488x^45+1565x^46+830x^47+418x^48+240x^49+51x^50+40x^51+10x^52+8x^53+2x^55+2x^59

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 10.7 seconds.