The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  4  1  1  1  2  1  1
 0 12  0  0  8 12 12  4  0  0  8 12  8  4 12 12  0  8  0  8  8 12 12  4  0 12  0  0
 0  0 12  0 12 12  4  8  0  4  4 12  8 12  0  0 12  0  8 12  4  8  4 12  8  0  4 12
 0  0  0 12  4  8  4  4  8  4  0  0  4 12 12  8  0  4  8  0  4  0  8  8  4  0 12 12

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

Homogenous weight enumerator: w(x)=1x^0+22x^24+40x^25+68x^26+226x^27+344x^28+218x^29+48x^30+12x^31+17x^32+12x^33+11x^34+2x^35+2x^37+1x^50

The gray image is a code over GF(2) with n=224, k=10 and d=96.
This code was found by Heurico 1.16 in 0.0175 seconds.