The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  4  4  2  1  2  1  1  4  0  2  2  1  1  2  1  1  1  1
 0 12  0  4  0  0  4 12  0  8  4  0  4  8  4  4  0  8  0  4 12  4  8 12  8 12  4  0  0  8  4  4  0 12 12  0  4  4  0  0  8  0
 0  0 12  4  0 12  4  0  0  4  0  8 12 12  8  4  8  4  4  4  0 12  4  0  4  8  4  8 12 12  4 12  4  0  0  0 12  4  8  0  8  0
 0  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0  0  0  8  8  0  8  0  0  8  8  8  0  8  0  8  0  8  8  0  0  0  0  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  0  0  0  0  0  8  0  0  8  0  8  0  8  0  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  8  8  8  8  8  0  8  0  0  0  8  8  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  0  8  0  0  0  8  8  8  0  8  8  8  0  8  8  0  0  8  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  0  8  8  8  8  0  0  8  8  8  8  0  0  0  8  0  8  8  8  8  0  0  8  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  0  0  0  8  8  0  8  0  8  8  8  8  8  0  0  8  8  0  0  0  0  8  8  8  0

generates a code of length 42 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+60x^32+222x^34+413x^36+837x^38+256x^39+2610x^40+1792x^41+4025x^42+1792x^43+2606x^44+256x^45+858x^46+373x^48+184x^50+65x^52+17x^54+12x^56+1x^58+4x^60

The gray image is a code over GF(2) with n=336, k=14 and d=128.
This code was found by Heurico 1.16 in 3.96 seconds.