The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+149x^24+136x^25+742x^26+824x^27+1951x^28+3688x^29+4346x^30+9112x^31+4275x^32+3736x^33+2078x^34+808x^35+612x^36+120x^37+126x^38+8x^39+47x^40+4x^42+5x^44

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 6.93 seconds.