The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^22+134x^23+241x^24+434x^25+755x^26+932x^27+738x^28+430x^29+214x^30+94x^31+36x^32+14x^33+11x^34+8x^35+8x^36+2x^37+1x^38

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 0.126 seconds.