The generator matrix

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

generates a code of length 43 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+51x^32+30x^33+183x^34+244x^35+368x^36+600x^37+766x^38+1710x^39+1102x^40+5544x^41+1619x^42+8334x^43+1564x^44+5484x^45+1302x^46+1816x^47+608x^48+570x^49+414x^50+172x^51+132x^52+60x^53+59x^54+10x^55+14x^56+7x^58+2x^59+1x^66+1x^70

The gray image is a code over GF(2) with n=344, k=15 and d=128.
This code was found by Heurico 1.16 in 14.9 seconds.