The generator matrix

 1  0  0  1  1  1 14  1  1  6  1  1 12  6 14  8  1  1  1  1  2  0  0  1  8  1  4
 0  1  0  2  1 11  1 12  2  0  7  9  1  1  1  1 13  3 10  4 10  0 14  2  1  0  1
 0  0  1  1  5  4  3  6  3  1  7  4  2  5  4  3  6  9  3 10  1  1  1 10  1 13  0
 0  0  0  4  4  8  4  8 12  0  0 12 12  8  8 12 12  0  0  4 12 12  8  8  8  8 12
 0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+141x^22+656x^23+2095x^24+3740x^25+6136x^26+7328x^27+6060x^28+3800x^29+2015x^30+560x^31+158x^32+44x^33+26x^34+6x^36+2x^38

The gray image is a code over GF(2) with n=216, k=15 and d=88.
This code was found by Heurico 1.16 in 3.29 seconds.