The generator matrix 1 0 0 0 1 1 1 18 1 1 1 1 6 3 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 3 1 0 1 0 0 18 1 19 1 3 12 26 5 1 1 1 14 13 16 21 2 20 1 17 0 4 7 8 4 20 14 1 15 0 0 1 0 16 25 14 7 4 5 3 22 9 8 10 2 9 17 3 11 7 13 15 21 5 24 26 6 10 21 13 23 0 0 0 1 14 9 5 5 1 21 25 24 7 5 10 10 17 3 2 18 20 21 2 4 10 6 14 16 25 23 7 19 generates a code of length 32 over Z27 who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+786x^55+1410x^56+5308x^57+9588x^58+12654x^59+25738x^60+37260x^61+48210x^62+69034x^63+79932x^64+79728x^65+72654x^66+49752x^67+21594x^68+12524x^69+4302x^70+624x^71+124x^72+138x^73+42x^74+26x^75+6x^76+6x^77 The gray image is a code over GF(3) with n=288, k=12 and d=165. This code was found by Heurico 1.16 in 225 seconds.