The generator matrix

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

generates a code of length 29 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+210x^24+436x^25+1108x^26+1760x^27+3216x^28+2960x^29+3264x^30+1672x^31+1179x^32+316x^33+188x^34+24x^35+32x^36+16x^38+2x^40

The gray image is a code over GF(2) with n=232, k=14 and d=96.
This code was found by Heurico 1.16 in 1.18 seconds.