The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  9  1  1  1 12  1  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  1  9  7  8  1 12 13 11  1  6 10  5  1 18 16 21 26 22  2 12  7  8 15  1 14  3 25 17  0  4 20  9 13 11 24  6 19 10 23  5

generates a code of length 51 over Z27 who´s minimum homogenous weight is 101.

Homogenous weight enumerator: w(x)=1x^0+432x^101+72x^102+216x^104+6x^108+2x^135

The gray image is a code over GF(3) with n=459, k=6 and d=303.
This code was found by Heurico 1.16 in 0.515 seconds.