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 1 X 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 X 2X 0 1 0 X 1 1 1 1 1 1 1 1 1 1 1 2X 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 2X+2 1 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 0 2 0 2 1 2X 1 1 1 X+1 0 1 2 2X+1 0 2X+1 2X+2 2 2 2X+2 X+2 2X+2 1 1 X+2 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 X+1 2X+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 2X 2 1 2X+1 X+1 X+1 2X+1 1 X X 1 2X+2 2X+2 X 2 2X X+1 2 X+1 2X X+1 2 0 2X+2 2X+2 X 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 1 X+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 X 2 X 2X+2 X 1 0 X+1 X 1 2 1 2X 2X+2 2X+2 1 X 2X+1 2X+2 0 2X+1 X+1 2X+1 2 X+1 0 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 2 2X+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 1 1 0 2 2X+2 X+2 1 2X X+1 X 1 1 X+2 1 2X+1 2 1 X+1 X 2X 2X 0 2 X+2 2 2X generates a code of length 95 over Z3[X]/(X^2) who´s minimum homogenous weight is 172. Homogenous weight enumerator: w(x)=1x^0+168x^172+174x^173+490x^174+876x^175+594x^176+958x^177+1806x^178+972x^179+1814x^180+2166x^181+1188x^182+1838x^183+2976x^184+1560x^185+2502x^186+3384x^187+1704x^188+2648x^189+3552x^190+1860x^191+2674x^192+3402x^193+1596x^194+2406x^195+2934x^196+1506x^197+1912x^198+2310x^199+1062x^200+1404x^201+1578x^202+564x^203+704x^204+744x^205+228x^206+202x^207+258x^208+72x^209+92x^210+60x^211+42x^212+36x^213+24x^214+6x^217+2x^225 The gray image is a linear code over GF(3) with n=285, k=10 and d=172. This code was found by Heurico 1.16 in 80.7 seconds.