The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+35x^22+204x^23+616x^24+1030x^25+1254x^26+2036x^27+1193x^28+1020x^29+493x^30+156x^31+109x^32+30x^33+8x^34+4x^35+1x^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 0.261 seconds.