The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+158x^25+402x^26+476x^27+580x^28+828x^29+814x^30+424x^31+143x^32+128x^33+94x^34+28x^35+12x^36+4x^37+2x^38+2x^41

The gray image is a code over GF(2) with n=232, k=12 and d=100.
This code was found by Heurico 1.16 in 19.9 seconds.