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 3 3 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 6 6 6 3 6 3 3 3 0 3 3 3 3 0 3 6 3 6 0 3 6 0 0 6 6 6 6 3 3 0 0 3 3 3 3 3 6 6 3 3 3 3 0 0 3 0 6 3 3 3 6 6 6 3 6 3 0 0 3 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 3 6 6 6 6 0 3 0 3 3 6 6 0 0 3 3 3 0 3 6 3 0 0 3 6 6 0 0 3 3 6 3 3 3 3 0 6 0 0 3 0 0 3 6 3 0 6 6 0 0 3 0 6 3 3 3 0 6 3 6 3 3 6 0 3 0 3 6 3 3 0 0 0 3 0 0 0 0 3 6 6 6 0 0 3 0 3 6 3 6 6 6 0 0 3 6 0 0 0 3 3 6 0 3 0 6 6 0 3 3 0 3 3 0 3 0 0 6 3 0 3 6 3 3 6 3 0 6 0 3 3 3 6 6 0 3 0 6 6 6 0 3 0 0 3 0 3 0 3 3 0 0 0 0 0 3 0 0 3 6 0 6 0 0 6 6 3 3 3 6 3 0 6 6 0 6 3 6 6 3 3 0 6 3 3 3 0 3 0 0 0 0 3 0 3 6 0 3 6 3 3 6 6 0 3 0 0 6 0 0 3 6 0 0 6 3 0 6 3 3 3 0 3 6 0 0 6 0 6 3 6 3 0 0 0 0 0 3 0 6 6 3 0 6 6 6 6 6 6 0 3 0 0 6 0 3 6 3 6 6 6 6 3 3 3 6 0 6 0 6 6 0 0 3 0 0 3 0 0 0 3 3 6 0 0 0 3 6 3 0 3 6 3 3 0 6 3 0 0 6 6 6 3 0 3 3 3 0 3 6 3 3 6 0 0 0 0 0 0 3 6 6 6 6 6 6 3 3 3 0 6 0 0 3 0 6 6 6 0 3 6 6 0 0 3 0 3 6 6 0 6 0 3 6 3 3 6 0 0 0 0 6 6 3 3 0 0 3 6 6 3 0 6 3 6 6 3 0 6 0 3 3 0 0 6 0 6 3 6 6 0 6 6 3 generates a code of length 81 over Z9 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+84x^144+206x^147+206x^150+282x^153+574x^156+1290x^159+1418x^162+1390x^165+508x^168+128x^171+128x^174+98x^177+84x^180+52x^183+52x^186+24x^189+22x^192+6x^195+2x^198+4x^201+2x^225 The gray image is a code over GF(3) with n=243, k=8 and d=144. This code was found by Heurico 1.16 in 1.81 seconds.