The generator matrix

 1  0  1  1  1  6  1  1 12  1 14  1  1  8  1  2  1  1  1  1  1  1  4  8 14 14  4  8
 0  1 11  6 13  1  0  7  1 14  1  5  3  1  4  1  1 10  9  2 11 14  1  1  1  1  2  1
 0  0 12  0  4  0 12 12  8  4  4  0  0  4  4 12 12  8  0 12  4 12 12 12 12  4  4  4
 0  0  0  8  0  0  0  8  8  8  0  8  0  0  0  8  8  8  8  0  0  0  0  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  8  8  0  8  8  0  8  8  8  8  8  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  8  0  8  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  8  8  0  8  8  0  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+62x^22+148x^23+248x^24+776x^25+2237x^26+2700x^27+4128x^28+2576x^29+2260x^30+844x^31+211x^32+104x^33+42x^34+20x^35+16x^36+6x^38+4x^40+1x^42

The gray image is a code over GF(2) with n=224, k=14 and d=88.
This code was found by Heurico 1.16 in 1.39 seconds.