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 X 1 1 1 X 1 X X 1 1 1 X 1 1 1 X X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X 2X X X 2X X 2X X 0 2X 2X X X 0 2X 0 0 X 2X X 2X 0 X X X 0 0 X X X X 0 2X 0 0 X 0 0 X X X 2X 2X 0 X 2X X X X X X X 2X 2X X 0 0 2X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X X 2X 0 2X 0 X 0 2X 0 0 X 2X 0 X 2X 0 2X X X X 0 2X 2X X 0 2X X 2X X 0 X 2X X 2X 0 X 2X 2X 2X 0 0 2X 2X 0 0 0 2X X X X 2X 0 2X 0 2X X X 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 2X 0 0 2X 2X 2X 2X 2X X 2X 2X 0 2X 0 X 2X 2X X 0 X 0 0 X X 2X X X X X 2X X X 0 X 2X 0 2X 2X 0 0 X X 2X X 0 0 X 2X 2X 0 2X 0 2X X X 0 X 0 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X X 2X X X X 2X 2X 2X 2X 2X 2X X 2X X 2X 2X 0 X 0 X 2X X 2X 2X X 0 0 X 2X 0 2X 2X 0 0 0 0 0 X X 0 0 X X 2X 2X X 0 0 0 2X 0 0 2X X 2X 2X X 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 2X 0 X 0 0 X 2X X 2X 2X 0 0 2X X 2X 0 2X 2X 2X X X 2X X 0 X X 2X X 2X X 2X 0 2X 2X 2X 2X 0 0 X 0 0 2X 0 0 2X 0 X X 0 2X 0 2X 2X 2X X 0 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X X X 0 2X 0 0 X 0 2X 2X 2X 2X X 2X 2X X X 2X 2X 2X 0 0 2X 2X X 0 X X X 2X 2X 0 X 2X 0 2X X 0 2X X 2X 0 X X 2X X 2X X 0 X X 0 X 0 0 2X X 0 X 2X 0 0 2X 2X 0 X generates a code of length 80 over Z3[X]/(X^2) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+44x^141+166x^144+216x^147+24x^149+214x^150+180x^152+226x^153+576x^155+220x^156+1086x^158+200x^159+1332x^161+122x^162+936x^164+146x^165+240x^167+100x^168+122x^171+102x^174+112x^177+66x^180+56x^183+30x^186+22x^189+14x^192+2x^195+4x^198+2x^219 The gray image is a linear code over GF(3) with n=240, k=8 and d=141. This code was found by Heurico 1.16 in 1.65 seconds.