The generator matrix

 1  0  0  0  1  1  1  4  1 14  1  0  1  1 10  1  1  8  2  1  0  4 10  1  1  1  1  6  1  8  1
 0  1  0  0  2  9  5  1  3  1  0  2  7  4  1  9 14  4  8  9  1  6  1  6  9 10 13 14  0  0  0
 0  0  1  0  3  1  4  5  5  3  1  1  2  0  4  6  5  1  6  7  0  1  8  4 10  2  9 10 11  1  0
 0  0  0  1  1  4  1  1  5 10  2  9  0  7  5  9  6 14  1  0  9 11 12  9  2 15 12  1  3  5  0
 0  0  0  0  4  0  0  0  0  8  8  8  8  8 12 12 12  4  4  4  4  0  4  8  4 12 12  0  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+47x^24+598x^25+2419x^26+7490x^27+14453x^28+32178x^29+44397x^30+58568x^31+44514x^32+32774x^33+14959x^34+6860x^35+1911x^36+742x^37+175x^38+40x^39+2x^40+12x^41+2x^42+2x^43

The gray image is a code over GF(2) with n=248, k=18 and d=96.
This code was found by Heurico 1.16 in 231 seconds.