The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1  1  0  1  1  1  1  1  1 21 24  1  1  1  9  1  1  1 12  1  1  1
 0  1  7 26  4 21 20  1 24 19 23  1  4  0 26  1 21 24 16 19 20 23  1  1  9 16  8  1 12 13 11  1  6  9  0
 0  0  9  0 18 18  9  9  0 18  0  0  9 18  9  9  0 18 18  9  0  9  0  9  9  0 18 18  9  0 18 18  9 18  0

generates a code of length 35 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+114x^66+432x^67+400x^69+432x^70+332x^72+432x^73+36x^75+2x^78+6x^81

The gray image is a code over GF(3) with n=315, k=7 and d=198.
This code was found by Heurico 1.16 in 0.0161 seconds.