The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+86x^23+444x^24+892x^25+1927x^26+3210x^27+3411x^28+3192x^29+1793x^30+794x^31+437x^32+140x^33+45x^34+6x^35+3x^36+3x^38

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 1.08 seconds.