The generator matrix

 1  0  1  1  1  1 18  1  1 21  1  1  3  1  1  1 24  1  1  0  1  1  1  1  1  1  1  1  1  1  1  0
 0  1  1 26  7 18  1 17  4  1 21  2  1 15  1 26  1 23 22  1 23 21  4 20  3  1 26  4 22 20 21  1
 0  0 24  0  0 21 21 21  9 15 18 12 12 12  3 15 18 15  3 24  9 24 15 15 21  3  0  9  9  9 24  6
 0  0  0  9  0  9 18 18  0 18 18  0  9  0 18  9 18  0  9  9 18 18  9 18  0  9  9  9 18 18 18 18
 0  0  0  0  9  0 18 18 18  0  0  9 18  0  9 18  0 18 18 18 18  9  0  0 18  0 18 18  9  0 18 18

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

Homogenous weight enumerator: w(x)=1x^0+114x^55+366x^56+272x^57+912x^58+1638x^59+2242x^60+3420x^61+7458x^62+7578x^63+6642x^64+12060x^65+7532x^66+4446x^67+2988x^68+508x^69+378x^70+246x^71+60x^72+120x^73+30x^74+20x^75+6x^76+4x^78+2x^81+6x^84

The gray image is a code over GF(3) with n=288, k=10 and d=165.
This code was found by Heurico 1.16 in 7.29 seconds.