The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+168x^23+233x^24+544x^25+670x^26+908x^27+690x^28+536x^29+156x^30+104x^31+33x^32+40x^33+6x^34+4x^35+2x^36+1x^40

The gray image is a code over GF(2) with n=216, k=12 and d=92.
This code was found by Heurico 1.16 in 6.94 seconds.