The generator matrix 1 0 0 1 1 1 1 1 0 2X 1 1 1 1 1 0 1 1 1 1 1 0 2X 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 2X 0 1 X 1 1 1 2X 1 2X 2X 1 1 1 0 1 0 1 1 1 1 1 1 1 2X 1 1 1 2X 1 X 2X 1 0 0 X X 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 2 1 2 1 1 0 2X+1 2X+2 2X 1 2X 2X+1 2 0 X+2 1 1 1 2 X 1 2X+1 1 1 1 0 2X X+2 2X+1 2 X+2 X+2 0 1 1 0 X 2X+1 2X+1 2X 1 X+2 1 1 2 X+2 X 1 X 1 1 2X+1 2X+2 2X+2 X+2 X+1 2X+2 1 X 1 1 1 X 1 1 X+2 2X X 1 1 X 1 2X+2 X+2 X 0 X 2X+1 2X+1 0 0 0 1 2 1 2 1 0 2 2X+1 2 2X 2X+1 2X+1 1 1 2X+2 X+1 2X+2 2X+2 0 1 X X 2X X+2 X+2 0 0 1 2 X+1 0 2X+1 1 X+2 0 1 X+2 X+1 2X+1 1 2X+2 X X X X+2 2X+2 1 1 2X+2 2 2X X 2X X+1 2 1 2X 2X+2 0 2X+2 X+1 1 2X+1 2X+2 2X 2 2X+2 X+1 1 1 1 2X+1 2X+2 2 X+1 X 2X+2 2X+2 2 0 1 2X 0 0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 0 0 X 2X 0 X 2X 2X 2X 0 2X 2X X X 2X 2X X X 2X 0 2X X 2X 0 X 0 2X 2X 0 2X 0 X 0 X 2X X 2X X X 2X 2X 0 0 X X X X 2X 2X X X 2X 0 0 0 X 2X 0 2X X 2X 2X 2X 2X X X X 0 X 2X 0 0 0 0 0 2X 0 0 0 0 0 X 2X 0 2X 0 0 0 0 X 0 X 2X 2X 0 0 X 2X 0 2X X 2X X 2X 2X 0 X 2X 2X X 2X 0 X 2X 2X 2X 0 2X 0 2X 2X X X X X X X 0 2X 2X 2X 0 2X X 0 2X 2X 2X 0 2X 2X 0 2X X X X 2X 2X 2X 2X 0 0 X 2X X X 0 0 0 0 0 X 0 X X 2X X 2X 2X 2X X X 2X 0 2X 2X 0 2X 0 2X 2X 2X 0 X X X 2X 2X 2X X 2X X 2X X X 0 X 0 0 X X 0 2X 0 X 2X 0 2X 2X X 0 X 2X 0 X 2X 0 0 2X 2X 0 X 2X 2X 2X X 0 X 0 X 0 2X 0 X X 2X X 0 X X 0 0 0 0 0 0 0 X X X X 0 0 2X X 0 2X 0 X 2X 2X 2X X 0 0 X 0 2X 2X X 0 X X 0 0 0 X 2X 2X 0 0 0 X 2X 2X X 2X X X 0 X 0 2X 0 X X X X 2X 2X 0 0 0 X X X 0 2X 2X 0 2X 0 X 0 X 0 X 0 X X 2X 2X 2X X 2X X generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 150. Homogenous weight enumerator: w(x)=1x^0+60x^150+36x^151+66x^152+468x^153+300x^154+318x^155+1224x^156+552x^157+696x^158+2008x^159+972x^160+1038x^161+2936x^162+1332x^163+1542x^164+3826x^165+1596x^166+1746x^167+4830x^168+2010x^169+2040x^170+4940x^171+2028x^172+1956x^173+4682x^174+1602x^175+1692x^176+3644x^177+1272x^178+1164x^179+2334x^180+900x^181+540x^182+1152x^183+348x^184+240x^185+372x^186+138x^187+66x^188+162x^189+30x^190+18x^191+62x^192+6x^193+42x^195+34x^198+16x^201+4x^204+6x^207+2x^213 The gray image is a linear code over GF(3) with n=255, k=10 and d=150. This code was found by Heurico 1.16 in 69.2 seconds.