The generator matrix

 1  0  0  1  1  1 14  1  1  6  1  1 12  6 14  8  1  1  1  1  2  1  2 12  1  2  4  1
 0  1  0  2  1 11  1 12  2  0  7  9  1  1  1  1 13  3 10  4 10  9 12 14  4  0  1 12
 0  0  1  1  5  4  3  6  3  1  7  4  2  5  4  3  6  9  3 10  1 10  1  1  3  1 11  1
 0  0  0  4  4  8  4  8 12  0  0 12 12  8  8 12 12  0  0  4 12  0  4  8  0  8  4 12
 0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  8  0  0  0  8  8  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+188x^23+764x^24+2042x^25+3675x^26+6058x^27+7443x^28+5842x^29+3854x^30+2026x^31+585x^32+206x^33+55x^34+14x^35+7x^36+6x^37+2x^39

The gray image is a code over GF(2) with n=224, k=15 and d=92.
This code was found by Heurico 1.16 in 3.48 seconds.