The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  2 12  1  1  1  1  0  1  1  1  2  1  1  1  2  2  1
 0  2  0  6  4 14 12  2  0  6  6  2  8 10 10  2 14 12  4  2  2  0 12  6 10  6  6  2  8  4  0
 0  0 12  0  4  4  0  4  0  8  0  8  4  0  0  8 12  8 12 12  8  0  8  0  8  0 12  4  4  4  0
 0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  8  8  0  8  0  0  0  0  8  0  0  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  0  0  0  0  0  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  8  0  8  0  0  0  0  0  0  8  8  8  0  0  8  0  8  8  8  0  8  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  8  8  8  0  0  8  8  8  0  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+39x^24+72x^25+131x^26+200x^27+298x^28+1032x^29+1604x^30+1552x^31+1575x^32+920x^33+268x^34+232x^35+126x^36+88x^37+34x^38+9x^40+9x^42+2x^46

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 0.493 seconds.