The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+71x^24+352x^25+866x^26+1822x^27+4302x^28+7108x^29+12162x^30+11972x^31+12286x^32+7540x^33+4145x^34+1566x^35+864x^36+308x^37+100x^38+48x^39+12x^40+4x^41+7x^42

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 17.6 seconds.