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 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 0 9 0 0 0 0 0 0 0 9 9 9 9 9 18 9 9 18 0 0 18 0 9 9 0 9 9 0 0 0 9 9 0 9 9 0 0 9 9 0 0 9 9 0 18 0 9 9 18 18 0 18 18 9 18 9 18 0 18 18 18 18 18 9 0 0 9 0 9 18 18 18 18 18 18 18 18 18 18 0 0 9 0 0 0 9 9 9 18 18 0 9 9 0 18 18 9 18 18 18 18 9 0 18 9 0 0 0 9 18 18 9 9 9 9 0 0 0 18 18 18 9 0 0 9 18 9 0 9 18 18 9 0 18 9 18 18 9 0 9 0 0 18 9 0 0 18 0 0 9 9 0 9 18 0 9 18 18 0 0 0 9 0 9 18 18 0 9 18 9 9 9 18 0 0 9 9 18 0 9 0 18 18 18 18 0 9 9 18 9 18 0 18 0 18 9 0 9 18 0 9 18 18 9 18 18 9 18 0 18 9 18 9 0 9 0 18 0 9 0 18 9 9 18 0 0 9 0 0 0 9 18 0 9 0 18 0 0 0 0 0 9 18 9 18 9 18 9 18 9 0 18 18 9 0 18 18 9 0 0 18 9 9 0 18 9 9 18 9 0 9 0 18 0 0 18 9 0 0 18 9 9 0 0 18 18 9 9 18 18 9 9 18 18 0 18 9 9 18 0 0 18 18 9 18 9 0 9 0 9 0 18 0 18 9 0 generates a code of length 79 over Z27 who´s minimum homogenous weight is 156. Homogenous weight enumerator: w(x)=1x^0+106x^156+1944x^158+108x^159+26x^162+2x^237 The gray image is a code over GF(3) with n=711, k=7 and d=468. This code was found by Heurico 1.16 in 0.238 seconds.