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

generates a code of length 55 over Z27 who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+218x^102+54x^104+414x^105+324x^107+984x^108+2106x^110+1396x^111+432x^113+262x^114+188x^117+112x^120+62x^123+4x^126+2x^138+2x^153

The gray image is a code over GF(3) with n=495, k=8 and d=306.
This code was found by Heurico 1.16 in 0.28 seconds.