The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  2 12  1  1  1  2  2  1  1  0  1  1  1  1  2  2  1
 0  2 12  6  0  6 12 10  0  6  6  2 12 10 10  2  0  6 10  6 10 12  6  2  0 12 10 12  6  6  6
 0  0  8  0  0  0  0  0  0  0  0  0  8  8  0  8  0  0  8  8  8  8  0  0  8  8  8  8  8  0  8
 0  0  0  8  0  0  0  0  0  8  0  8  0  8  8  0  0  8  0  8  0  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  8  8  8
 0  0  0  0  0  8  0  0  0  8  8  0  0  8  8  0  8  0  8  8  0  0  0  0  8  8  0  8  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  0  8  0  8  0  8  0  8  0  8  0  0  8
 0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  0  0  0  0  0  8  0  0  0  8  8  8  8  0
 0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+163x^24+48x^25+196x^26+416x^27+786x^28+2256x^29+2404x^30+3776x^31+2546x^32+2256x^33+684x^34+416x^35+280x^36+48x^37+44x^38+57x^40+6x^44+1x^48

The gray image is a code over GF(2) with n=248, k=14 and d=96.
This code was found by Heurico 1.16 in 24.8 seconds.