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 1 1 1 1 X 2X 1 1 1 1 2X X 0 1 1 1 1 1 1 1 1 X 0 0 X 0 1 0 1 1 1 1 2X 1 1 1 1 1 1 1 1 1 2X X 1 1 1 1 X 1 0 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 2 X+2 X+2 X 0 0 2X X+2 1 2 2X+2 1 1 1 X+1 2 2X+1 X 2X+1 2 X+1 1 1 1 1 1 1 X+1 X 2X+2 1 X 1 1 2X+1 2 2X+2 2X 2X 2X+1 1 1 0 0 0 2X+1 2X+2 2X+2 X+1 0 0 1 2 2X+2 2X+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 1 2 2X+1 2X+2 X+1 2X+1 1 1 2X+2 X+2 2X+2 X+1 2X+1 X+1 X+2 X+2 2X+2 2X+2 1 2X+1 1 2X+1 X+1 2X 2 2X+2 X 2X+1 0 1 2X+1 X+1 2X+1 0 X+2 2 X+2 X+2 2 1 2X+1 2X 1 2X+2 1 1 X X+1 2 2X+1 2X X+2 X 0 2X 2X+2 2X+2 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 X+1 1 2 2X+1 2X+2 1 X X X 0 2X+1 0 X+1 2X 2 2X+2 1 2X+2 2X+2 X+2 0 X 2X 0 2X+2 0 X+2 2 1 X+1 2 X 2 X X+1 2X+2 X+2 1 2 X+1 1 X+1 2 2 X+1 2X+2 X+2 1 1 0 1 2X+2 X 0 2X+2 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 2X X+2 0 X+2 2X+1 X+1 X X+1 2X 0 2X+2 2X 1 2 2X+1 X+1 X+1 0 2X+2 X+2 1 X+2 1 1 2X+2 2 2 0 2X+2 2X 0 X 2 X 2X 2X+1 0 2X+1 2 2X X+2 X+1 X+2 2X+1 0 2X X X+1 2X+2 X+1 2 X+2 1 2 2X+1 X+1 generates a code of length 88 over Z3[X]/(X^2) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+278x^159+306x^160+546x^161+1008x^162+870x^163+1086x^164+1866x^165+1476x^166+1524x^167+2104x^168+1626x^169+1992x^170+2840x^171+2274x^172+2322x^173+3256x^174+2550x^175+2358x^176+3366x^177+2544x^178+2562x^179+3110x^180+2280x^181+2202x^182+2812x^183+1788x^184+1494x^185+1798x^186+990x^187+774x^188+1012x^189+486x^190+486x^191+424x^192+234x^193+78x^194+122x^195+42x^196+66x^197+48x^198+30x^199+6x^200+12x^201 The gray image is a linear code over GF(3) with n=264, k=10 and d=159. This code was found by Heurico 1.16 in 74.5 seconds.