The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^22+496x^23+950x^24+2030x^25+2602x^26+3948x^27+2864x^28+2004x^29+756x^30+432x^31+135x^32+46x^33+18x^34+4x^35+2x^40

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 1.12 seconds.