The generator matrix

 1  0  1  1  1  6  1 12  1  1 10  1  1  1  8  1  1 14  1  1  2  1  1  0  1  2  8  6
 0  1 11  6 13  1 12  1  3 10  1  1  7  8  1 14  5  1  4 15  1  6 13  1 10  8  1  1
 0  0 12  0  4  0  0  8  0  8  8  4  4  4 12 12  8 12  4  8 12  8 12  8  0  4 12  0
 0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8  8  8  8  8
 0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  0  0  8  8  0  8  8  0  8  8
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  0  0  8  0  8  0  8  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^23+199x^24+386x^25+1189x^26+1244x^27+2096x^28+1242x^29+1211x^30+364x^31+131x^32+30x^33+27x^34+12x^35+4x^36+6x^37+5x^38+1x^40

The gray image is a code over GF(2) with n=224, k=13 and d=92.
This code was found by Heurico 1.16 in 0.401 seconds.