The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+154x^24+544x^25+1330x^26+2260x^27+4278x^28+7378x^29+10582x^30+12302x^31+10677x^32+7596x^33+4372x^34+2208x^35+1154x^36+410x^37+192x^38+62x^39+24x^40+8x^41+2x^42+2x^46

The gray image is a code over GF(2) with n=248, k=16 and d=96.
This code was found by Heurico 1.16 in 25.3 seconds.