The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  2 12  1  2  0  2 12  1  1  1  2  1  0  1  0  4  2
 0  2 12  6  0  6 12 10  0  6  6  2 12 10 10  2  0  6  2 10  2 12  6 10  6  6  2  0  2 12  0
 0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  8  0  0  0  8  8  8  0  8  8  0
 0  0  0  8  0  0  0  0  0  8  8  0  8  8  0  8  0  0  8  8  0  8  0  8  8  0  8  8  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  8  0  0  0  8  8  8  0  0  8  8  0  8  8  8  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  0  8  0  0  8  8  0
 0  0  0  0  0  0  8  0  8  0  0  0  8  8  8  8  0  8  0  8  8  0  8  0  8  0  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  8  0  0  0  0  0  0  8  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+88x^24+24x^25+100x^26+288x^27+537x^28+1176x^29+956x^30+1792x^31+1084x^32+1096x^33+572x^34+224x^35+182x^36+8x^37+36x^38+26x^40+1x^44+1x^48

The gray image is a code over GF(2) with n=248, k=13 and d=96.
This code was found by Heurico 1.16 in 0.493 seconds.