The generator matrix

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

generates a code of length 32 over Z27 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+150x^55+198x^56+118x^57+426x^58+456x^59+488x^60+948x^61+3078x^62+1428x^63+2682x^64+5610x^65+1420x^66+1122x^67+588x^68+98x^69+402x^70+234x^71+54x^72+84x^73+42x^74+22x^75+18x^76+8x^78+2x^81+6x^84

The gray image is a code over GF(3) with n=288, k=9 and d=165.
This code was found by Heurico 1.16 in 1.99 seconds.