The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+294x^22+524x^23+1141x^24+1692x^25+3097x^26+2756x^27+3343x^28+1704x^29+1079x^30+452x^31+210x^32+28x^33+39x^34+12x^35+9x^36+3x^38

The gray image is a code over GF(2) with n=216, k=14 and d=88.
This code was found by Heurico 1.16 in 2.54 seconds.