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 3 3 1 1 1 3 3 1 1 1 1 3 3 1 1 1 1 3 3 3 1 3 9 9 0 3 3 3 1 3 3 3 3 9 9 9 0 1 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 0 9 18 9 18 0 9 18 9 18 0 9 18 0 9 18 9 18 0 9 0 9 18 18 0 9 18 9 9 0 18 0 0 9 18 0 0 9 18 9 0 generates a code of length 77 over Z27 who´s minimum homogenous weight is 155. Homogenous weight enumerator: w(x)=1x^0+54x^155+2x^156+18x^157+2x^159+4x^162 The gray image is a code over GF(3) with n=693, k=4 and d=465. This code was found by Heurico 1.16 in 0.168 seconds.