The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  0  1  1  2  1  1  1  8  1  1  8  1
 0  2  0  6  0 14 10  8  6  2  8  8 14  2  6  2  4  4  6 10  2  4  2 14  0  2 12
 0  0 12  0  0  0  0  4  4  4  8  4  0 12 12  8 12  8  8  4  4  0  4 12  8  0  8
 0  0  0 12  0  8 12  0 12 12 12  4  8  0  0  8  4 12  4  0  8  0  4  0  8  4 12
 0  0  0  0 12 12  4 12  8 12  0  4  4  8 12  8 12  8  4 12  0 12  4  8  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+160x^22+120x^23+606x^24+832x^25+1560x^26+1680x^27+1559x^28+832x^29+546x^30+120x^31+128x^32+36x^34+9x^36+2x^38+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 0.582 seconds.