The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 1 1 X 0 1 1 1 1 1 1 1 1 1 X 1 0 1 1 1 2X X 1 1 1 1 2X 0 1 2X X 1 1 1 2X X 0 2X 1 2X 0 1 1 1 1 1 1 1 X 0 1 2X 1 2X 1 1 1 0 0 X 1 1 1 2X 1 X 1 1 1 1 1 2X 1 0 1 0 0 0 0 2X 2X+1 X+1 1 X 2 X+2 2 1 X+2 1 0 2X X+2 X+1 2X+1 X+2 2 0 X+2 X+1 1 X 1 2X X+1 1 0 1 2 1 X 2 1 1 2X+2 X 1 1 1 2X+1 1 1 1 1 2X 1 1 2 2 2X+2 X 0 2X+2 2X+1 1 0 2 0 X+2 1 0 2X+2 X+1 1 1 1 0 2X+2 2X 1 0 1 X X+1 1 2X X+1 1 0 0 0 1 0 0 0 2X+1 X+1 2 X+1 1 X 2X+1 2 X 1 X+1 1 2X+2 2X+2 2 X 1 0 2X+1 X+2 2X+2 2 2X+2 X+2 2 1 X 1 2 2X 2X+2 2X X 2X+2 2X+1 2 1 2X X+2 X+2 X 2 2X 1 X+2 X+1 1 2X+2 1 0 X+1 2 2X+1 0 2X+1 1 1 2X+2 1 2X X X+1 X X X+1 X+1 2X+2 2 2X+1 2 X+2 2X+2 2X+1 1 0 1 X+1 X+1 2X+2 0 0 0 0 1 1 2 2X+2 X+1 X+2 1 X 0 X+1 2 2X X 0 2X+2 1 0 1 2X+2 2 2X+2 X+1 X+1 2X 2X+2 2 0 0 2X+2 2X+1 X+2 2X+1 2X+1 2X 0 2 X+2 2 2X+1 2X 2X+1 X+1 2 2X+2 2X X 2X+2 X+2 X 0 X+1 0 2 1 1 2X+2 2X X 0 1 2 X+1 X+2 2X+2 1 X 2X+1 2 1 0 2X X 0 2X 0 1 2X X+2 2X 2 X+1 1 2 0 0 0 0 2X 0 2X 2X 2X 0 0 0 0 X X X X 2X 2X 0 0 0 0 X 2X X 2X 0 2X 0 X 2X X 0 2X 0 0 X X 2X 2X 0 2X X 0 X X X 2X 0 2X 0 X 0 2X 2X 2X X X X 2X 0 0 2X 2X X X 0 X 0 2X 0 0 0 2X 2X X X X 0 0 X 2X 2X X 0 0 0 0 0 0 X 0 0 0 0 X X X 2X 2X 2X X 2X 0 X X 0 0 X X X 2X X X 2X X X 0 X X 2X 0 X 0 X 0 0 X 0 0 0 X 2X X 2X 2X 2X 2X X 0 2X 2X 2X X 0 0 X 2X 0 X 2X X 0 X X X 2X 0 X X X 0 2X X 0 2X X 0 X 0 0 generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 154. Homogenous weight enumerator: w(x)=1x^0+192x^154+156x^155+372x^156+630x^157+450x^158+1008x^159+1410x^160+786x^161+1648x^162+2382x^163+1404x^164+2050x^165+2964x^166+1506x^167+2426x^168+3390x^169+1860x^170+2834x^171+3750x^172+2058x^173+2740x^174+3984x^175+1692x^176+2324x^177+3276x^178+1380x^179+2076x^180+2166x^181+1062x^182+1280x^183+1368x^184+510x^185+576x^186+510x^187+186x^188+200x^189+204x^190+72x^191+82x^192+18x^193+34x^195+14x^198+10x^201+4x^204+4x^207 The gray image is a linear code over GF(3) with n=258, k=10 and d=154. This code was found by Heurico 1.16 in 71.1 seconds.