The generator matrix

 1  0  1  1  1 12  1  1  2  1 14  1 12  1  1  1  1  8  1  1  6  1  1  2  1  1  0  8  1  0  1
 0  1  1 12 11  1  2  7  1 14  1 13  1  4  4  9  9  1  3  3  1  6 10  4  7  6  0  1 10  1  0
 0  0  2  6  4  6  2 14  2  4  4  4  0  2 12  6  0  2  0  6  0  8  6  2  2 14  2  4  0  6  8
 0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  0  0  8  0  8  8  8  8  8  0  0  8  8  8  0  8
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  0  0  8  0  8  0  0  8  8  0  8  8  8  8  8  0  8
 0  0  0  0  0  8  0  0  8  0  0  0  0  0  0  8  8  8  0  0  8  8  0  8  8  0  0  8  8  0  8
 0  0  0  0  0  0  8  0  0  0  8  8  0  8  8  8  8  0  8  8  0  8  0  8  8  0  0  8  0  0  8
 0  0  0  0  0  0  0  8  8  8  0  0  8  8  0  0  0  8  8  8  8  8  8  8  8  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+159x^24+136x^25+842x^26+1176x^27+4750x^28+6248x^29+13664x^30+11480x^31+13814x^32+6296x^33+4708x^34+1160x^35+812x^36+120x^37+112x^38+8x^39+41x^40+2x^42+6x^44+1x^48

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 17 seconds.