The generator matrix

 1  0  0  0  1  1  1 10 14  1  1  2 12  1  1 12  0  6  1 12  1  1  1  1 10  1  1
 0  1  0  0  4  9 13  1  1 14  2  1 14  1 11  1  1 12  0  1  1  8  7 13  6  6 12
 0  0  1  0  5  1  4  5  8  2 13  7  1 10  1  2  5  1  2 15  7 14 13  7  1  9  8
 0  0  0  1  1  4  5  5 11  5  2  0  7 14  5  8 10  7 10 11 13 11  7  7 14  2  8

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

Homogenous weight enumerator: w(x)=1x^0+276x^22+1614x^23+3855x^24+7486x^25+12324x^26+14138x^27+12754x^28+7702x^29+3624x^30+1330x^31+278x^32+106x^33+40x^34+6x^35+2x^37

The gray image is a code over GF(2) with n=216, k=16 and d=88.
This code was found by Heurico 1.16 in 13.5 seconds.