The generator matrix

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

generates a code of length 28 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+20x^23+230x^24+132x^25+384x^26+872x^27+839x^28+872x^29+384x^30+132x^31+185x^32+20x^33+24x^36+1x^44

The gray image is a code over GF(2) with n=224, k=12 and d=92.
This code was found by Heurico 1.16 in 26.5 seconds.