The generator matrix 1 0 1 1 1 1 1 21 1 1 1 24 1 1 0 1 1 21 1 1 1 1 1 24 1 1 1 9 1 1 1 24 1 1 1 12 1 6 1 1 1 1 1 1 24 1 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 15 0 21 1 1 18 0 1 7 26 21 4 20 1 24 19 23 1 21 4 1 26 0 1 24 16 20 19 23 1 9 16 5 1 12 13 20 1 8 24 19 1 11 1 6 10 20 6 11 19 1 24 10 1 0 21 6 0 9 9 21 12 9 16 4 10 16 25 12 1 13 25 13 4 12 3 10 11 26 1 1 1 23 8 1 0 0 9 0 18 18 9 0 0 9 18 18 9 0 18 18 9 9 18 18 0 0 9 9 18 0 0 9 0 9 0 9 9 9 9 18 18 0 9 18 18 18 9 18 18 0 0 0 0 18 18 9 9 18 9 0 0 18 0 0 9 18 18 9 18 0 9 18 9 0 18 9 0 0 0 18 0 18 9 0 0 0 9 0 18 18 9 9 9 9 0 18 0 18 0 9 18 18 9 18 18 0 9 18 18 18 9 9 9 9 18 18 18 0 0 0 9 9 9 9 0 0 18 18 0 0 0 9 18 9 18 0 0 9 0 18 18 18 9 9 0 9 18 9 0 0 0 0 18 0 9 0 18 18 9 0 9 18 generates a code of length 79 over Z27 who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+696x^153+486x^154+702x^155+1164x^156+432x^157+54x^158+916x^159+396x^160+54x^161+784x^162+288x^163+324x^164+222x^165+18x^166+18x^168+2x^186+4x^189 The gray image is a code over GF(3) with n=711, k=8 and d=459. This code was found by Heurico 1.16 in 81 seconds.