The generator matrix

 1  0  1  1  1  6  1 12  1  1  1 14  2  1  8  1  1  1  1  1  4  6  0  1  1  2  2
 0  1 11  6 13  1 12  1  3  5 14  1  1 10  1  8  2 15  9  7  1  1  1  1  9  8  0
 0  0 12  0  4  0  0  8  0  8  4 12 12  0  4  4  4  8  8  4 12  0  0  4  8 12  0
 0  0  0  8  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  8  0  0  8  8  8  8
 0  0  0  0  8  0  8  8  8  8  0  8  0  0  8  8  8  0  0  0  8  8  0  0  8  0  0
 0  0  0  0  0  8  0  8  8  0  0  0  8  8  8  0  8  0  0  8  0  0  8  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+67x^22+76x^23+593x^24+996x^25+1547x^26+1704x^27+1511x^28+984x^29+539x^30+76x^31+62x^32+4x^33+21x^34+9x^36+2x^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 0.367 seconds.