The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+436x^25+1126x^26+2060x^27+2876x^28+3468x^29+2884x^30+2098x^31+935x^32+332x^33+102x^34+48x^35+12x^36+4x^37+2x^39

The gray image is a code over GF(2) with n=232, k=14 and d=100.
This code was found by Heurico 1.16 in 29.4 seconds.