The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+60x^28+114x^29+243x^30+240x^31+210x^32+80x^33+44x^34+8x^35+16x^36+6x^37+1x^40+1x^54

The gray image is a code over GF(2) with n=248, k=10 and d=112.
This code was found by Heurico 1.16 in 0.0167 seconds.