The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 1 X 1 1 1 1 1 1 1 X 1 2X 2X 0 X 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X 0 0 1 0 1 1 1 1 2X 1 1 1 0 X 1 2X 1 2X 1 2X 2X 1 1 1 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X X 1 X+1 X+2 2X+1 0 2X X+2 X+1 1 1 1 1 1 0 2X+2 1 X+2 X X+1 2X X 0 2 0 X 1 2 X+2 2X X 0 1 1 0 1 2X+1 2X X 0 0 2 2X+2 X+1 1 1 2X X X+2 1 2X+1 2X 1 2X+2 X+2 2X+1 X+2 0 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2X 2 X+2 2X+1 X+2 X+2 1 1 1 2 X+1 2 2 1 1 1 1 X+2 2X+2 2X+1 2 X+1 2 2 1 2 2X+2 X+1 X+2 1 1 1 X+1 X X+1 X+1 X+2 X+2 X+1 X+2 1 X 2 2X 2 2X 1 1 1 2X+1 X+1 1 1 2X+2 2 X+2 0 2X 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 2 X+1 2 2X X+1 2X 2 2X+1 X+2 2X+2 X+1 2 2X 2X 2X X+1 2X+1 2X+1 2X+2 1 2X 0 1 X+2 1 0 X 2X 0 X+1 1 0 1 0 0 2X X+2 1 X X+1 2X+2 X+2 2X 2X+1 2X+2 0 2X+2 2X+1 2X+2 0 X+2 X+2 2X+2 2X+1 X X+2 1 0 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 2X+1 0 2X X X+1 1 2X+1 X+1 0 X+1 2X+2 2X+2 X+1 2X 2X+2 2X X+2 2X 0 2X+1 0 X+2 X 2X+2 2X 2X+2 X+1 2X+1 0 2X+2 X+2 2X+1 1 2X+1 X 2X+2 X+2 X+1 2X+1 2X 2X 2X+1 X+2 X+1 X 2X+2 X+2 0 X+1 2 2 2 0 X+1 2X+1 2X+2 2 1 generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+144x^147+276x^148+450x^149+860x^150+822x^151+1026x^152+1748x^153+1374x^154+1698x^155+2434x^156+1722x^157+1872x^158+2990x^159+2244x^160+2304x^161+3052x^162+2682x^163+2568x^164+3370x^165+2514x^166+2526x^167+3382x^168+2424x^169+2088x^170+2948x^171+1794x^172+1608x^173+1792x^174+966x^175+930x^176+950x^177+450x^178+324x^179+270x^180+162x^181+84x^182+90x^183+48x^184+18x^185+26x^186+18x^187 The gray image is a linear code over GF(3) with n=246, k=10 and d=147. This code was found by Heurico 1.16 in 66.7 seconds.