The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+459x^24+740x^25+2090x^26+3552x^27+6069x^28+6812x^29+6358x^30+3520x^31+1991x^32+700x^33+382x^34+32x^35+55x^36+4x^37+2x^38+1x^48

The gray image is a code over GF(2) with n=232, k=15 and d=96.
This code was found by Heurico 1.16 in 5.32 seconds.