The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 X X 1 1 1 1 X 1 1 X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X X 0 2X X X 2X X 0 2X X 0 2X 2X X X 0 X 2X X 0 X X 2X X X X X 2X 2X 0 X X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 X X X X 2X 2X 2X 0 2X 2X 2X 0 2X X 0 2X 0 2X X X X X X 0 0 2X X 0 2X 2X X X 0 X X 2X X 2X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X 2X X 2X X X 0 X X X 2X 0 2X 0 X 2X 2X 0 0 2X 2X X 0 0 2X X 0 X X 2X X 0 2X 0 2X 2X 2X 0 2X 0 0 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 2X X X X 0 X 2X 0 X 0 2X 0 2X 2X X 0 2X 0 X X 2X 0 2X 0 2X X 2X X X 0 2X 2X 2X 0 0 0 X 2X X 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X 2X 0 2X 2X 2X 2X X 2X X X 2X X 2X X 2X X 2X 0 2X 0 2X 2X X X 0 X 0 2X 2X 2X 0 0 0 0 0 0 2X 0 2X 2X 2X 2X X 0 0 0 0 0 0 0 X 0 0 2X 2X X 2X 0 X 0 2X 2X 0 2X 2X 2X 2X X 0 0 2X 0 X 2X 2X X X X 2X X 0 2X 2X X 0 X 2X 0 0 X X X 2X 2X 0 2X 0 0 2X 0 0 0 0 0 0 0 0 0 X 0 2X X 2X 0 2X X 0 X X 2X 0 2X 2X X X X X X X 2X 0 0 2X X 2X 0 2X 0 2X 2X 0 0 0 X 2X X 0 0 2X 0 2X X X 0 X 2X 0 0 0 0 0 0 0 0 0 0 X X 0 X X 2X X 2X 0 2X 2X 0 0 0 2X X 0 X X 2X 0 2X 0 2X X 2X X 2X 0 0 X 2X 0 2X 0 X 2X 2X 2X X 2X X 2X X 0 0 X X 0 generates a code of length 57 over Z3[X]/(X^2) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+60x^87+242x^90+464x^93+720x^96+878x^99+18x^100+1250x^102+252x^103+1310x^105+1512x^106+1722x^108+5040x^109+1918x^111+10080x^112+2034x^114+12096x^115+2024x^117+8064x^118+1998x^120+2304x^121+1718x^123+1336x^126+868x^129+548x^132+326x^135+134x^138+84x^141+32x^144+10x^147+4x^150+2x^159 The gray image is a linear code over GF(3) with n=171, k=10 and d=87. This code was found by Heurico 1.16 in 78 seconds.