The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 0 9 0 0 0 0 9 18 18 0 0 9 9 9 9 9 9 9 0 0 18 9 0 9 18 9 18 18 18 9 0 0 0 9 0 0 9 18 0 18 0 9 9 18 18 0 9 0 9 9 9 9 0 0 18 18 18 0 9 18 9 0 0 0 0 9 0 18 18 9 0 9 9 0 0 9 18 9 9 18 0 18 0 9 18 9 9 9 9 0 9 18 0 0 0 0 0 9 18 18 18 18 18 0 18 0 0 18 18 0 9 18 0 0 9 9 9 18 18 0 9 9 0 0 generates a code of length 31 over Z27 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+30x^54+58x^57+220x^60+1458x^62+354x^63+14x^66+8x^69+18x^72+18x^75+6x^78+2x^90 The gray image is a code over GF(3) with n=279, k=7 and d=162. This code was found by Heurico 1.16 in 0.0236 seconds.