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 3 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 3 1 3 1 1 1 3 3 1 1 3 1 1 1 1 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 9 9 18 9 18 0 18 9 0 18 18 9 9 18 18 18 0 9 0 18 9 9 0 18 9 9 0 9 18 9 18 9 9 18 18 18 18 0 9 0 18 9 9 0 0 0 0 18 18 9 9 18 9 0 18 18 18 0 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 0 9 9 18 9 18 0 9 18 0 18 0 0 9 0 0 18 9 18 9 9 18 9 9 18 9 18 9 0 18 0 9 18 9 0 18 0 18 9 18 9 9 9 0 9 9 9 18 0 9 9 18 0 0 18 0 0 18 18 9 0 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 18 0 0 0 18 18 0 0 18 18 18 0 0 9 18 18 9 18 0 9 18 9 0 9 0 0 18 9 18 9 18 9 9 18 18 0 18 9 0 0 9 0 9 0 9 18 0 0 9 9 9 9 18 0 9 18 18 0 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 9 0 18 9 18 9 0 9 18 0 9 0 0 18 18 9 18 0 0 0 0 18 18 9 18 0 9 18 9 9 9 0 0 0 18 18 9 0 18 9 0 0 9 0 0 0 18 0 9 9 0 9 0 0 9 18 18 18 18 18 0 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 18 0 18 9 18 0 0 9 0 9 18 18 18 18 9 18 0 9 9 18 0 18 0 0 0 0 0 18 0 0 18 9 9 0 9 18 9 18 18 9 9 0 9 0 0 0 0 9 9 18 0 0 18 18 9 0 9 9 0 0 0 0 0 0 9 18 18 18 18 18 18 9 9 9 0 18 0 0 9 0 18 18 18 0 9 9 0 0 18 0 9 18 0 18 0 9 0 9 18 18 18 0 9 9 18 0 9 18 18 18 18 18 9 0 18 9 0 18 9 0 9 0 0 18 0 0 18 18 0 18 18 9 18 0 18 0 0 18 generates a code of length 80 over Z27 who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+60x^141+142x^144+216x^147+316x^150+522x^153+874x^156+1486x^159+13122x^160+1298x^162+846x^165+290x^168+136x^171+106x^174+66x^177+70x^180+54x^183+42x^186+14x^189+10x^192+8x^195+2x^198+2x^216 The gray image is a code over GF(3) with n=720, k=9 and d=423. This code was found by Heurico 1.16 in 4.35 seconds.