The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^25+186x^26+188x^27+270x^28+114x^29+117x^30+64x^31+24x^32+4x^33+9x^34+1x^44

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 0.0134 seconds.