The generator matrix 1 0 0 1 1 1 1 1 1 0 1 2X 1 1 0 1 1 1 1 1 0 2X 1 1 X 1 1 1 1 0 1 1 1 1 1 1 0 1 2X 0 2X 1 1 1 X 1 1 2X 0 1 1 0 1 X 1 1 1 X 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 X 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 2 1 2 1 2X+1 1 2X+2 2X+1 1 X+1 2X+1 X X+2 2 1 1 2X+2 2X 0 0 2X 1 X 1 2X+2 2X+2 X+2 1 X 2X+1 1 0 2X 1 1 X 1 2 2X 2X 2X+2 1 1 1 X+1 X 2 1 2X 2X X+2 0 2 1 X+1 2X+2 X+1 1 2X 2X+2 0 2X+2 1 1 X X+1 1 X+2 1 2X+1 2 2X+1 2 X+1 0 2X 2 X+2 0 0 1 1 2 2 2 1 0 2 2X 2X+1 2X+1 0 X+2 2X+1 X+2 2 X+1 0 X 2X+1 X+2 X+1 1 X X+1 2X+2 X+2 X+1 X+2 0 2X+1 2X X+1 X+1 0 2X 1 X+2 2X+1 2X+2 2X 2X 1 2X X+1 2 0 2X+2 1 1 X+1 2 X X+2 0 1 2X+2 2X 2X 2X X+2 1 X X 2 2X+1 2X+2 2X+2 2X+1 X 2X 2X 0 2 X+1 2X+2 2 2X+2 1 X 0 2X+1 0 0 0 2X 0 0 0 0 0 0 2X X 0 X X X X 2X 2X X X 0 2X X X 2X 0 2X 2X 2X 0 0 X 0 2X 2X X 2X 2X X 0 0 2X 0 0 2X X 2X X 2X 2X X 2X 2X X 0 2X 2X 2X 2X X 0 X 2X 0 2X X X 2X X 0 0 X 0 0 X 0 2X X 2X X 2X X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X X 2X 2X X X X X X X 2X 2X 2X X 2X 0 0 2X 2X 0 X X 0 X 2X 0 2X X 2X X X X 2X 0 X 0 X 0 0 2X 2X 0 X 2X 2X 2X 0 0 X 0 2X X X 2X X 0 0 X X X 2X 0 X 0 2X 2X 0 0 0 0 0 0 2X 0 X X X 2X 0 2X X 2X 2X 0 2X X X X X X 2X 2X 0 X 0 2X X 0 X 0 X X 0 X 0 2X X X 2X X 0 0 X 0 X 2X 2X X 0 2X 2X 0 2X 0 2X 0 X 0 0 X 2X 0 2X 2X 0 0 0 2X X 0 2X 2X X X 2X X X X 2X 0 X 0 0 0 0 0 0 X 2X X 0 2X 0 2X X X 0 X 2X X 0 0 X 2X 0 2X X 2X X 0 X X X 2X 0 X 2X 0 2X X X 0 2X 2X 0 0 0 X 2X 0 2X 0 X X 0 2X 0 2X X X X X 2X 2X 2X 2X 0 0 2X 0 2X X 2X 2X 0 0 X 0 X 0 X 0 0 X 2X generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 149. Homogenous weight enumerator: w(x)=1x^0+60x^149+340x^150+150x^151+264x^152+1018x^153+390x^154+588x^155+1634x^156+756x^157+960x^158+2584x^159+1134x^160+1308x^161+3590x^162+1602x^163+1584x^164+4386x^165+1878x^166+2064x^167+5066x^168+2232x^169+1854x^170+4992x^171+2034x^172+1770x^173+3964x^174+1536x^175+1338x^176+2762x^177+894x^178+762x^179+1434x^180+402x^181+426x^182+586x^183+96x^184+114x^185+236x^186+18x^187+24x^188+100x^189+6x^191+44x^192+22x^195+16x^198+22x^201+6x^204+2x^210 The gray image is a linear code over GF(3) with n=252, k=10 and d=149. This code was found by Heurico 1.16 in 85 seconds.