The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  9  0 18  0  0  9  9 18  9  9 18 18 18  0  0  9  0  0  9
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  9  9  9  9  0  0 18 18 18  9  0  9 18 18  9 18 18 18  9
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9 18 18  0  0 18  9  9  9  9 18  9  0  9 18  0  0  9  0  9
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0  9  0  0 18  9  9  9 18 18  0  0  9  9  9  9 18 18  9  0

generates a code of length 36 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+64x^66+86x^69+162x^70+1476x^72+324x^73+16x^75+12x^78+8x^81+28x^84+8x^87+2x^105

The gray image is a code over GF(3) with n=324, k=7 and d=198.
This code was found by Heurico 1.16 in 46.9 seconds.