The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+24x^26+64x^27+76x^28+64x^29+22x^30+3x^32+2x^38

The gray image is a code over GF(2) with n=224, k=8 and d=104.
This code was found by Heurico 1.16 in 0.00969 seconds.