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 1 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 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 0 2 X+1 2 2X+1 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 X+1 2X+2 1 1 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 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 2X+1 1 X 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 0 X X 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+252x^157+462x^158+438x^159+696x^160+1128x^161+942x^162+1560x^163+1614x^164+1438x^165+2178x^166+2418x^167+1724x^168+2760x^169+2718x^170+1852x^171+3126x^172+3132x^173+2328x^174+2976x^175+2946x^176+2006x^177+2844x^178+2694x^179+1858x^180+2292x^181+2322x^182+1518x^183+1698x^184+1392x^185+818x^186+948x^187+714x^188+264x^189+456x^190+258x^191+98x^192+60x^193+54x^194+18x^195+24x^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 94.8 seconds.