The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^22+822x^23+1624x^24+4100x^25+5518x^26+8366x^27+5500x^28+4112x^29+1586x^30+698x^31+167x^32+76x^33+18x^34+2x^35+4x^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 3.18 seconds.