The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  2  2  1  1  4  2  2 12  2  8  1  1  2
 0  2  0  0  0  2 14  2  4 12 14 10  8  6  2  6 10  6  4  2 12  2  0 10  2  8  6  4
 0  0  2  0  2  2 10  8  0  0  2 10  6  4 14  2  4  8  2  4 14 10  2 14  4  2  4 10
 0  0  0  2  2  8  2  6 14  4  4 14 10  8  4  6 14  6  8  8 12 12  2  6  8  2  4 10
 0  0  0  0  4  0  4 12 12 12 12  8  8  4  0  4  4  0 12  0  8 12 12  8  8  8  8  8

generates a code of length 28 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+240x^22+484x^23+1201x^24+1744x^25+3976x^26+5392x^27+6533x^28+5536x^29+4144x^30+1796x^31+1030x^32+368x^33+240x^34+40x^35+31x^36+8x^38+4x^40

The gray image is a code over GF(2) with n=224, k=15 and d=88.
This code was found by Heurico 1.16 in 6.08 seconds.