The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  1  1  2  4  0  2  1  4  1  1  4  1  1  1  1  1  1
 0 12  0 12  0 12  0 12 12  0 12  8  4 12 12  4 12  0 12  0  0  0  0  8  0  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  0  0  0  0  8  8  8  0  8  0  8  8  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  0  0  8  8  0  8  0  8  0  0  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  0  0  8  8  8  8  0  8  0  0  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  0  8  0  8  8  0  0  8  0  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  0  8  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  0  0  8  0  8  0  8  8  0  8  8  8  8  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  0  0  8  8  8  8  0  0  0

generates a code of length 28 over Z16 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+188x^16+18x^18+336x^20+258x^22+416x^23+1046x^24+192x^25+4532x^26+5856x^27+7632x^28+4736x^29+4708x^30+864x^31+827x^32+192x^33+506x^34+32x^35+192x^36+154x^38+18x^40+64x^42

The gray image is a code over GF(2) with n=224, k=15 and d=64.
This code was found by Heurico 1.16 in 4.6 seconds.