The generator matrix

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

generates a code of length 28 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+74x^25+52x^26+174x^27+484x^28+136x^29+24x^30+32x^31+11x^32+30x^33+3x^34+2x^35+1x^50

The gray image is a code over GF(2) with n=224, k=10 and d=100.
This code was found by Heurico 1.16 in 0.0733 seconds.