The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+253x^24+92x^25+824x^26+1060x^27+3692x^28+7612x^29+12766x^30+13180x^31+12335x^32+7636x^33+3950x^34+1052x^35+756x^36+84x^37+186x^38+4x^39+50x^40+2x^42+1x^56

The gray image is a code over GF(2) with n=248, k=16 and d=96.
This code was found by Heurico 1.16 in 29.4 seconds.