The generator matrix

 1  0  1  1  1  4  1 10  1 14  1  1  1  1  0  1  2 14  1  4  1  1  0  1  0  1  1  1
 0  1  1  0  3  1 13  1 10  1 14  7  3 10  1  9  1  1  7  1 15  7  8  6  1 12 10  1
 0  0  2  6  0  2  4  6  2  0  8  6  4  6  2 12  4 10 14  8 10 12  2  4  2 12 14  6
 0  0  0 12  0  8  0  8  4  4  4 12  4  0 12  4  0  8  0  4 12  8  0 12 12 12  8  4
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  8  0  8  0  0  0  8  0  8  8  0  0

generates a code of length 28 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+126x^23+405x^24+910x^25+1853x^26+3110x^27+3671x^28+3032x^29+1905x^30+844x^31+314x^32+150x^33+31x^34+14x^35+9x^36+4x^37+3x^38+2x^39

The gray image is a code over GF(2) with n=224, k=14 and d=92.
This code was found by Heurico 1.16 in 1.18 seconds.