The generator matrix

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

generates a code of length 28 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+246x^26+128x^27+379x^28+32x^29+164x^30+32x^31+34x^32+6x^34+1x^36+1x^40

The gray image is a code over GF(2) with n=224, k=10 and d=104.
This code was found by Heurico 1.16 in 0.032 seconds.