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 X 1 1 X 1 1 1 X 1 0 1 1 1 1 1 2X X 1 1 2X 1 0 0 X 1 1 1 1 1 1 0 X X 1 2X 1 0 1 1 1 1 X 1 0 1 1 1 1 X 2X 1 X 2X 1 X 2X 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 0 X+1 X+2 1 2X X+1 2X 1 2X+2 1 X+1 X X+2 0 2X 1 1 2X+1 0 1 2X 1 1 1 2 2X+1 2X+1 X+1 X+1 X 1 1 1 1 2X X+1 X X+1 1 2X+1 2 X 0 1 X+2 2 X X 2X X 2 1 X 0 X 1 X 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 2X+1 2X+1 2X+2 2 X+1 1 2X+1 X+1 1 X+2 X+1 2X+2 2X+1 1 2X+1 2 2X+1 1 2X+2 X+2 X+2 X X X+2 2X+1 2 1 0 2X+1 2 X+1 2X+1 1 1 X+2 1 1 1 X 2 1 X+2 2 2X+1 2X+2 X X 1 1 1 2X+2 1 X+1 0 X+1 0 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 X+1 X+1 2X+1 2X+2 X+2 2X+2 2 X+1 1 2X X+2 0 X X 2X+2 2X+1 X X+2 2X+2 2 1 1 0 0 X X X+1 2X+1 2 X+1 0 2 2X+2 0 2X+1 0 0 1 X+1 1 2 2X 2X X+1 0 2 1 2X+1 2X+2 2X X 2X X+2 X 1 X+1 2X 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 2 2X+2 X+1 X 2X+2 X 2X+1 2X+2 2 2X X+2 2X X+1 X+2 X 2X+1 2X+1 1 X+2 2X+2 2X X+2 X+1 2X+2 2X 2X+2 2X+2 2X+1 X X+1 2X 1 2X 2X+1 X 1 1 2X 2X+2 0 1 2X+2 0 1 2X+2 0 2X 0 X+1 2X+1 2 2X+2 X+1 X+1 2 2X+1 2X+1 generates a code of length 87 over Z3[X]/(X^2) who´s minimum homogenous weight is 157. Homogenous weight enumerator: w(x)=1x^0+240x^157+390x^158+468x^159+726x^160+1098x^161+954x^162+1632x^163+1824x^164+1510x^165+2004x^166+2190x^167+1560x^168+2664x^169+2982x^170+1982x^171+3228x^172+2988x^173+2228x^174+3102x^175+2958x^176+2046x^177+2736x^178+2784x^179+1910x^180+2442x^181+2202x^182+1268x^183+1722x^184+1356x^185+888x^186+912x^187+768x^188+376x^189+348x^190+258x^191+88x^192+96x^193+54x^194+24x^195+18x^196+18x^197+6x^198 The gray image is a linear code over GF(3) with n=261, k=10 and d=157. This code was found by Heurico 1.16 in 73 seconds.