The generator matrix

 1  0  1  1  1 14  1  1  4  1  2  1  6  1  1  1  1 12  1  4  1  8  1  1  0  1  4  8
 0  1  1  4  7  1  2  3  1 14  1  5  1  4  9  8  2  1 11  1  5  4  7  5  1 14  2  1
 0  0  2  2  2  4  2  0  2  4  2  0  8 12  6 10 12  6 12 12  6  2  2 14  0 10  2  2
 0  0  0  8  0  0  8  0  8  0  8  8  8  8  0  8  0  8  8  0  8  0  0  8  0  0  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  8  0  8  0  8  0  8  0  8  0  8  0
 0  0  0  0  0  8  8  8  0  0  0  8  0  0  8  0  8  8  0  0  8  8  8  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+154x^23+344x^24+1186x^25+1617x^26+3030x^27+3752x^28+3022x^29+1680x^30+1142x^31+239x^32+142x^33+30x^34+26x^35+16x^36+2x^37+1x^42

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 21.2 seconds.