The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  1  1 21  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1 20 21  1  4 16 19  0 24  1 26 19  4  0  9 23 26  8  9
 0  0  9  0 18  9 18  0  9 18  0  9  9  0 18 18  0 18  9 18 18  0  0 18  9 18  9  9 18  9
 0  0  0  9  9 18 18  9  9  0  0 18  9 18  0 18 18  9  0 18  9 18  0  9  9  9  9  0  0 18

generates a code of length 30 over Z27 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+70x^54+72x^55+678x^56+280x^57+270x^58+1734x^59+482x^60+540x^61+1818x^62+346x^63+90x^64+114x^65+24x^66+30x^68+4x^69+6x^72+2x^75

The gray image is a code over GF(3) with n=270, k=8 and d=162.
This code was found by Heurico 1.16 in 0.0567 seconds.