The generator matrix

 1  0  1  1  1  8  1  1 14  1  1  1 14  6  1  1  1  8  2  1  1  1  1 10 10 12  1
 0  1  1  4  3  1  2  9  1  0 15  6  1  1  6  9 15  1 14 11  9  0 14  1  1  1 12
 0  0  2 10  8 10 10  8 10 12 14  0 12  0 12 14  2  4 14  4 12 14  6  2 14 10  6

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

Homogenous weight enumerator: w(x)=1x^0+84x^24+354x^25+453x^26+404x^27+338x^28+258x^29+101x^30+24x^31+8x^32+16x^33+6x^34+1x^36

The gray image is a code over GF(2) with n=216, k=11 and d=96.
This code was found by Heurico 1.16 in 0.032 seconds.