The generator matrix

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

generates a code of length 42 over Z16 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+49x^34+94x^35+213x^36+558x^37+1074x^38+2600x^39+3354x^40+5946x^41+5010x^42+6010x^43+3357x^44+2630x^45+968x^46+478x^47+219x^48+78x^49+61x^50+32x^51+21x^52+4x^53+6x^54+2x^55+2x^56+1x^60

The gray image is a code over GF(2) with n=336, k=15 and d=136.
This code was found by Heurico 1.16 in 7.7 seconds.