The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+245x^22+484x^23+1704x^24+2964x^25+7740x^26+12020x^27+15224x^28+11762x^29+8194x^30+3004x^31+1471x^32+434x^33+196x^34+44x^35+32x^36+6x^37+9x^38+2x^41

The gray image is a code over GF(2) with n=224, k=16 and d=88.
This code was found by Heurico 1.16 in 16 seconds.