The generator matrix

 1  0  1  1  1 14  0  1  1  1  6  1  1  1  1  1  4  1  1  1  2  1  8 12  1  1  0  4  6  1  1
 0  1 11  6 13  1  1  0  3 14  1  1  7  5  4 15  1 10  2  8  1  9  1  1 12 11  1  1  1  3  5
 0  0 12  0  4  4 12 12  0 12  8  4 12  0 12  0 12  8  4 12  4  0  4  0  0 12  8 12  8  8  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  0  8  8  8  8  0  0  8  8  0  8  8  0  8  8  8  8  8
 0  0  0  0  8  0  0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  8  8  8  8  8  8  0  8  0  8
 0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  8  0  8  8  0  8  8  8  0  0  0  8  0  0  0  8
 0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  8  8  0  0  8  0  0  0  0  8  8  0  0  0  0  8
 0  0  0  0  0  0  0  8  0  8  0  0  0  0  8  0  0  0  8  8  8  0  0  8  8  8  8  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+118x^24+16x^25+318x^26+448x^27+2131x^28+3824x^29+6124x^30+6784x^31+6215x^32+3824x^33+2064x^34+448x^35+318x^36+16x^37+68x^38+42x^40+2x^42+7x^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 4.83 seconds.