The generator matrix 1 0 1 1 1 1 1 1 18 1 21 1 1 0 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 1 21 6 15 3 1 1 24 1 1 1 1 1 12 1 1 6 1 0 1 1 26 18 17 0 25 1 20 1 21 20 1 5 4 24 3 1 4 21 16 6 14 6 22 26 19 5 2 1 1 1 1 25 1 1 23 17 5 13 13 1 16 18 1 0 0 0 24 9 21 12 6 3 3 18 0 0 15 6 18 0 15 3 24 6 15 6 21 3 9 21 15 18 24 12 24 21 18 21 18 3 9 21 0 6 12 9 3 24 24 6 0 generates a code of length 47 over Z27 who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+240x^89+474x^90+846x^91+1050x^92+504x^93+798x^94+534x^95+390x^96+756x^97+564x^98+324x^99+12x^100+12x^101+12x^103+6x^104+6x^105+6x^107+2x^108+6x^109+18x^110 The gray image is a code over GF(3) with n=423, k=8 and d=267. This code was found by Heurico 1.16 in 0.109 seconds.