The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+86x^24+326x^25+590x^26+1252x^27+1885x^28+3734x^29+5040x^30+6586x^31+5258x^32+4176x^33+1914x^34+1016x^35+435x^36+270x^37+132x^38+42x^39+15x^40+6x^41+4x^42

The gray image is a code over GF(2) with n=248, k=15 and d=96.
This code was found by Heurico 1.16 in 6.45 seconds.