The generator matrix

 1  0  0  0  1  1  1  1  8  1  8 10  1  1  6  6 12  1  1  1 12  1  1  1  1  0  1
 0  1  0  0  0  8  5 15  1 11  1  6  7 14  1  1  1  5  8  6  4 10 15  9  3  2  6
 0  0  1  0  1 14  4  2  2  3  5  1  5 15 15  8  4 10  8 11  1  5  9  3  9  2 12
 0  0  0  1  1  3  7 10  3  9  2  5  2  0  5  4 15  4 15  1  9  4 11  7  4  1  7
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  0  8  8  8  0  0  0  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+932x^22+2772x^23+7634x^24+14596x^25+25888x^26+27016x^27+26282x^28+15112x^29+7448x^30+2340x^31+861x^32+116x^33+64x^34+6x^36+4x^38

The gray image is a code over GF(2) with n=216, k=17 and d=88.
This code was found by Heurico 1.16 in 54.5 seconds.