The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  0  1  2  8  1  2  1  2  1  2  1 12  8  2  2  1  2  1  1
 0  2  0  6  0  6 12 14  0  6  6  2  2 12 14  2  4 10 14  4 12  8 10  2  0  6  0  4 14  0  0
 0  0 12  0  0  4 12  4  4  0  0  8  4  8  0 12  4  8 12  4  0  0 12 12  4 12  4 12  0  0  0
 0  0  0 12 12  4 12  0  4  0  8  4  4  0  4  8  0  8  0  0  8  4 12  4 12  4  4  4 12  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  0  0
 0  0  0  0  0  8  0  0  8  8  8  0  0  0  0  8  8  8  0  8  8  8  0  0  0  0  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  0  8  0  8  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  8  0  8  8  8  0  0  8  0  0  8  0  0  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+52x^22+30x^23+194x^24+282x^25+605x^26+1006x^27+1917x^28+3818x^29+5411x^30+6106x^31+5466x^32+3838x^33+1920x^34+1002x^35+552x^36+254x^37+192x^38+48x^39+58x^40+11x^42+3x^44+1x^46+1x^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 6.94 seconds.