The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1  1  1  2  1 12  1  0  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1  0 10  5 15  0  9  1 12  2  8
 0  0  8  0  0  8  8  0  0  8  8  8  0  0  8  0  8  0  8  0  0  8  8  0  8  8  8  8
 0  0  0  8  0  8  8  8  8  0  8  0  8  0  8  0  0  0  0  0  8  8  8  0  0  8  0  8
 0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0  0  0  8  8  8  8  0  0  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+17x^24+168x^25+241x^26+376x^27+447x^28+392x^29+234x^30+136x^31+14x^32+16x^33+3x^34+1x^36+1x^38+1x^46

The gray image is a code over GF(2) with n=224, k=11 and d=96.
This code was found by Heurico 1.16 in 0.0255 seconds.