The generator matrix

 1  0  0  0  1  1  1 10  1  2  1  4  6  1  1  0 10  1  1  1 10  1  1  1  2 14  1  1
 0  1  0  0  2  4  6  6 11  1  1  1  1 15  5  1  1 14  0  2  1  3  1  5  8  4  7 10
 0  0  1  0  8  5 13  1  3  3 10 14 13 12  9 13  2 12 11 14 14  4 15  3  1  1  1 10
 0  0  0  1  9  1  8  5  4  4  0  3  7  5  1 14 14  3  5 10  5  2  7 14 12 14 15  4

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

Homogenous weight enumerator: w(x)=1x^0+304x^23+1720x^24+3998x^25+7584x^26+12058x^27+14042x^28+12320x^29+7882x^30+3620x^31+1475x^32+446x^33+52x^34+18x^35+10x^36+4x^37+2x^38

The gray image is a code over GF(2) with n=224, k=16 and d=92.
This code was found by Heurico 1.16 in 11.9 seconds.