The generator matrix

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

generates a code of length 27 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+84x^22+32x^23+233x^24+640x^25+585x^26+960x^27+588x^28+640x^29+216x^30+32x^31+69x^32+6x^34+4x^36+4x^38+1x^40+1x^42

The gray image is a code over GF(2) with n=216, k=12 and d=88.
This code was found by Heurico 1.16 in 10 seconds.