The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+69x^22+150x^23+194x^24+384x^25+732x^26+990x^27+792x^28+384x^29+218x^30+130x^31+35x^32+4x^34+10x^35+1x^38+2x^40

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 0.161 seconds.