The generator matrix

 1  0  1  1  1 14  1  1  4  1  1  4 10  1  1  1  1  1  1  1  2  1 12  1  4 14  1  2  2
 0  1  1  4  7  1  2  3  1  5  6  1  1 15  8  2 10  5  7  8  1 10  2  5  1  1  0  0  4
 0  0  2  2  2  4  2  0  2  0  8 12  6  6 10  4  6  8  4  4 10  8  6  6  2 10  0  6 10
 0  0  0  8  0  0  8  0  0  8  8  8  8  0  8  8  8  8  0  0  8  0  0  8  0  8  0  0  8
 0  0  0  0  8  0  0  0  8  8  8  8  0  0  8  0  8  0  8  0  8  8  0  0  0  8  8  8  8
 0  0  0  0  0  8  8  8  0  0  8  0  0  8  0  8  8  8  0  8  8  0  0  0  8  0  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+212x^24+320x^25+1230x^26+1560x^27+3704x^28+2400x^29+3684x^30+1552x^31+1189x^32+288x^33+166x^34+24x^35+44x^36+8x^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 1.19 seconds.