The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^24+222x^25+772x^26+1100x^27+2716x^28+3200x^29+5652x^30+5150x^31+5765x^32+3522x^33+2646x^34+920x^35+672x^36+188x^37+112x^38+30x^39+30x^40+4x^41+2x^42

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 6.74 seconds.