The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+34x^24+166x^25+185x^26+304x^27+161x^28+118x^29+21x^30+12x^31+12x^32+8x^33+1x^38+1x^46

The gray image is a code over GF(2) with n=216, k=10 and d=96.
This code was found by Heurico 1.16 in 0.0123 seconds.