The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^35+202x^36+714x^37+1157x^38+2592x^39+3479x^40+5558x^41+5141x^42+5658x^43+3606x^44+2506x^45+1070x^46+598x^47+126x^48+178x^49+50x^50+12x^51+8x^52+4x^53+5x^54+2x^55+1x^56+1x^58+1x^64

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 7.32 seconds.