The generator matrix

 1  0  1  1  1  4  1 10  1 14  1  1  1  1  2  1  1  1  1 10 12  2 12  2  8  1  1
 0  1  1  0  3  1 13  1 10  1 14  7  3 10  1  5 10 13  0  1  1  1  1 14  2  8  4
 0  0  2  6  0  2  4  6  2  0  8  6  4  6 14  4 12  2 10  2  0 12  8  6 14  0  2
 0  0  0 12  0  8  0  8  4  4  4 12  4  0  4 12  4  0  4  8  4  0  8  4 12  4  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  0  0  0  8  8  8  8  0  8  8  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+148x^22+316x^23+1008x^24+2040x^25+2687x^26+4000x^27+2726x^28+2040x^29+945x^30+292x^31+131x^32+16x^33+25x^34+6x^36+3x^38

The gray image is a code over GF(2) with n=216, k=14 and d=88.
This code was found by Heurico 1.16 in 1.06 seconds.