The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  3  1  1
 0  1  1 26 18 17 16  1 25 16 21 18  4  3
 0  0 24  0 21 21 15 18  3  9  6 21 15  3
 0  0  0  9  9 18 18  9  9  9 18 18  9 18

generates a code of length 14 over Z27 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+174x^22+786x^24+924x^25+2268x^26+2576x^27+4500x^28+4536x^29+2610x^30+1140x^31+96x^33+66x^34+6x^36

The gray image is a code over GF(3) with n=126, k=9 and d=66.
This code was found by Heurico 1.16 in 0.157 seconds.