The generator matrix 1 0 0 1 1 1 1 1 0 2X 1 1 1 1 1 0 1 1 1 1 1 1 2X X 1 0 1 1 1 1 1 1 0 2X 1 1 X 1 X 1 1 1 1 1 X X 1 2X 1 1 1 1 0 1 1 0 1 1 1 2X 0 X 1 1 1 X 0 1 1 2X 1 1 1 X 1 1 2X 2X 1 1 0 1 0 1 0 2 1 2 1 1 0 2X+1 2X+2 2X 1 2X 0 X+1 2X+2 1 2 2 1 1 2X 1 X+2 2X 2X X+2 2X+1 2X+1 1 2X 2 2X+1 1 0 1 2X+2 2 2X+2 2X 2X+1 1 1 X+2 2X 0 2X+1 1 X X 2X+2 2X+1 1 2X 2X+2 2X+2 1 1 2X 2X X 2X+1 1 1 2X X+1 1 2 1 X+1 1 2 2 1 1 2 1 0 0 1 2 1 2 1 0 2 2X+1 2 2X 2X+1 2X+1 1 1 X+2 2 X+1 0 X 2 2 1 2X 0 X+1 X X+2 2X X 1 X 1 2 X+2 X+1 2X+1 2 X+2 0 2X+1 2X 2X+2 2X 2 X+2 1 X+1 1 0 2X 1 0 X 1 X+1 0 2 X+2 2X+1 1 X 2 X+1 X 2X+1 2 X+1 2X+2 2 X+2 1 2X X+2 0 2X X+1 0 2X+2 0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 0 0 0 2X 2X 2X 2X X 2X X 2X X 2X X 2X X X 2X 0 2X 0 2X 2X X 2X 2X X 2X X X 2X X X 0 0 X 0 X 0 2X 0 X 2X X 0 X X 0 X 2X 2X 2X 2X X 2X 0 2X 2X X X X 2X 0 2X 0 2X 0 0 0 0 2X 0 0 0 0 0 X 2X 0 2X 0 0 X 0 0 X 2X 0 X 2X 2X 2X X X 2X 2X 0 2X 2X 2X X 2X 0 X X 0 0 X 2X X 2X 0 0 X 2X 2X 2X X 0 2X X X X X X 0 2X X X X X 2X 2X 0 0 X 0 X 0 X 2X X 2X 2X 2X 2X 0 0 0 0 0 X 0 X X 2X X 2X 2X 2X X X 2X X 0 2X 2X 0 0 0 X X 0 0 0 2X 2X 0 0 2X X 2X X 2X 2X X X 2X X X X 0 2X 0 0 2X X X 0 X 2X 2X 0 X 0 0 2X X 0 2X 2X X X 2X 0 0 X X X 0 2X 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 0 2X X 0 2X 2X 2X X 0 2X X 2X 0 X 2X X 2X X X X 0 2X 0 2X 0 X 2X 2X X 2X X 2X 2X 0 0 0 2X X X 0 2X X 0 X 2X 0 0 X X 2X 0 X X 2X X 0 X 0 2X 0 2X 2X 2X 2X 0 0 2X 2X 2X 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+140x^141+66x^142+126x^143+734x^144+252x^145+372x^146+1492x^147+570x^148+702x^149+2214x^150+1044x^151+1290x^152+3318x^153+1458x^154+1506x^155+4146x^156+1974x^157+2184x^158+4850x^159+2028x^160+1992x^161+4966x^162+2196x^163+1944x^164+4596x^165+1740x^166+1536x^167+3060x^168+1098x^169+948x^170+1898x^171+522x^172+384x^173+876x^174+144x^175+114x^176+284x^177+30x^178+18x^179+96x^180+6x^182+64x^183+30x^186+28x^189+4x^192+6x^195+2x^198 The gray image is a linear code over GF(3) with n=240, k=10 and d=141. This code was found by Heurico 1.16 in 63.5 seconds.