The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+96x^23+228x^24+614x^25+1145x^26+1690x^27+2904x^28+2836x^29+3183x^30+1832x^31+995x^32+494x^33+209x^34+90x^35+32x^36+24x^37+5x^38+4x^39+2x^42

The gray image is a code over GF(2) with n=232, k=14 and d=92.
This code was found by Heurico 1.16 in 1.82 seconds.