The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+61x^22+302x^23+524x^24+1050x^25+1068x^26+2168x^27+1182x^28+1068x^29+357x^30+246x^31+116x^32+26x^33+18x^34+4x^35+1x^40

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 0.415 seconds.