The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^22+32x^23+286x^24+416x^25+948x^26+1600x^27+1499x^28+1600x^29+947x^30+416x^31+234x^32+32x^33+71x^34+25x^36+3x^38+3x^40+1x^42

The gray image is a code over GF(2) with n=224, k=13 and d=88.
This code was found by Heurico 1.16 in 0.495 seconds.