The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+131x^22+348x^23+526x^24+840x^25+1410x^26+1732x^27+1378x^28+864x^29+516x^30+276x^31+105x^32+24x^33+22x^34+12x^35+6x^36+1x^38

The gray image is a code over GF(2) with n=216, k=13 and d=88.
This code was found by Heurico 1.16 in 0.774 seconds.