The generator matrix 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 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 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 0 9 0 0 9 0 9 9 18 0 0 9 9 0 18 9 18 18 0 9 18 0 9 18 18 18 18 0 0 0 9 9 0 9 9 18 0 0 9 9 0 18 9 18 18 0 9 18 0 9 18 18 18 18 0 0 9 9 0 18 9 9 9 0 9 9 0 9 0 0 9 0 18 18 18 18 18 18 18 18 0 0 0 9 9 0 9 9 0 0 9 0 18 9 18 9 18 0 9 9 0 18 0 0 9 9 18 18 18 18 9 0 0 9 18 0 0 9 18 9 9 18 0 18 0 9 9 0 18 0 0 9 9 18 18 18 18 9 0 0 9 18 0 9 18 9 9 0 9 0 18 9 9 0 0 18 18 18 0 18 0 9 9 0 9 18 18 18 0 0 9 18 9 9 18 9 0 0 0 9 18 18 0 18 18 18 9 0 18 0 18 9 9 0 9 9 9 18 9 0 9 18 0 0 9 18 18 18 9 9 9 18 18 0 0 0 9 9 18 18 9 0 0 0 18 9 0 18 0 9 9 18 18 18 9 9 0 0 0 0 9 9 18 9 0 9 18 18 0 18 9 18 0 0 9 18 0 9 18 18 18 9 9 0 generates a code of length 88 over Z27 who´s minimum homogenous weight is 174. Homogenous weight enumerator: w(x)=1x^0+22x^174+156x^175+486x^176+24x^177+20x^180+8x^183+6x^186+6x^202 The gray image is a code over GF(3) with n=792, k=6 and d=522. This code was found by Heurico 1.16 in 0.289 seconds.