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

generates a code of length 54 over Z27 who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+578x^99+1176x^102+324x^104+1506x^105+972x^106+1296x^107+7670x^108+1944x^109+1296x^110+1392x^111+696x^114+576x^117+186x^120+66x^123+2x^126+2x^153

The gray image is a code over GF(3) with n=486, k=9 and d=297.
This code was found by Heurico 1.16 in 1.79 seconds.