The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  1  1  6  1  1  1  1  1  1  1 12  1  6  1  6  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  3  6  1  5 12 10  9 15  6 10  1  3  1  6  1  0  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  8  8  8  0  8  0  0  8  8  0  8  8  8  8  0  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  8  8  0  8  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  8  0  0
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  0  0  0  8  8  0  8  8  8  0  0  0  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+35x^24+16x^25+72x^26+272x^27+359x^28+1328x^29+940x^30+2144x^31+969x^32+1328x^33+320x^34+272x^35+90x^36+16x^37+12x^38+11x^40+7x^44

The gray image is a code over GF(2) with n=248, k=13 and d=96.
This code was found by Heurico 1.16 in 0.302 seconds.