The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+56x^22+48x^23+129x^24+216x^25+397x^26+758x^27+2003x^28+3860x^29+5601x^30+6588x^31+5627x^32+3924x^33+1998x^34+744x^35+394x^36+188x^37+118x^38+52x^39+33x^40+4x^41+21x^42+2x^43+3x^44+1x^46+2x^48

The gray image is a code over GF(2) with n=248, k=15 and d=88.
This code was found by Heurico 1.16 in 6.77 seconds.