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  3  1  1  1  3  1  3
 0  3  0  0 24 21 15  3 24  9  3 18 24 21 21 15 24  9 21  0  3 24  6 21 18  9  6 12 15 21 18  9 21 18  6  3
 0  0  3 24  9  6 21  3  6 18  3 21  0 15 18  3  6 15  6 12  9  0  3 21 15 18 12 15  9  0 18 15 12 21 15  3
 0  0  0  9  0  0 18  9 18 18 18 18  9 18 18  0  9 18  9  9  9 18  9  0  0  9  9  9 18  0  0  0  0  9  0  0

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

Homogenous weight enumerator: w(x)=1x^0+364x^66+162x^68+622x^69+486x^70+648x^71+1922x^72+972x^73+648x^74+302x^75+260x^78+154x^81+18x^84+2x^99

The gray image is a code over GF(3) with n=324, k=8 and d=198.
This code was found by Heurico 1.16 in 0.284 seconds.