The generator matrix

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

generates a code of length 28 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+27x^24+190x^25+177x^26+420x^27+498x^28+368x^29+153x^30+124x^31+34x^32+50x^33+5x^34+1x^46

The gray image is a code over GF(2) with n=224, k=11 and d=96.
This code was found by Heurico 1.16 in 0.0364 seconds.