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

generates a code of length 39 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+42x^66+94x^69+140x^72+94x^75+5910x^78+60x^81+64x^84+54x^87+50x^90+34x^93+8x^96+8x^99+2x^117

The gray image is a code over GF(3) with n=351, k=8 and d=198.
This code was found by Heurico 1.16 in 0.209 seconds.