The generator matrix 1 0 0 0 1 1 1 1 X 1 1 1 1 1 1 2X 1 1 X 1 X 1 0 1 2X 0 1 1 0 X 1 1 1 1 1 1 1 0 0 1 1 2X 1 1 1 1 0 1 0 1 1 1 1 2X 1 1 X 1 X 1 1 X 1 1 1 1 1 2X 1 1 1 1 1 X 2X 0 1 1 1 1 1 X 1 1 1 1 1 1 1 1 2X 1 1 1 2X 0 1 0 0 0 0 2X 2X 1 1 2X+1 X+2 2X+2 0 2X 2X 1 2 1 X+1 1 2X+2 1 2X+1 1 1 2X+2 2X+1 1 2X 2X+2 2X+1 2 2X+1 0 2 2X+2 1 1 2 X+2 1 2X X+1 2X+1 X 1 X+2 1 2X 1 X 2X+1 1 2X+2 0 0 0 2X 2X+2 2X+2 2X 2X+2 X+2 0 2 1 1 2X+1 2 X 1 X 1 1 1 2X+2 2X X+2 X+1 1 1 2 2X 2X+2 X+1 1 X+2 2 2 0 2X+1 X+1 0 1 0 0 1 0 0 0 2X+1 2 2X+1 1 2X 2X X+2 1 2X+2 1 2 X+1 X+2 X+1 X+1 2 0 2X+2 2X 2 X X 2X+2 1 X+1 X 2X+2 0 2 2X+1 X+1 2X 1 2X X 0 X+1 2 1 2X+1 X+1 X+2 1 2X 1 2X X+1 2 2X+1 2X 1 1 1 2X+1 X X X X+1 2X+1 X 2X+1 2X+2 X+1 2 X+1 2 2X 0 1 2 X 1 2 1 2X+2 2X+1 1 2 2X 1 2X+2 1 2X+2 X+2 1 X X X X+2 0 0 0 1 1 2 2X+2 2 X+1 0 X+2 2X+2 2X+1 2X+1 X 2 X+1 0 2 X+2 2X 2 2X+1 0 X+2 1 X 2X 0 2X+1 X+1 2X+1 X 1 2X+1 0 X+2 0 X+2 X 1 X+2 0 2 2 2X+1 2X 2X+2 X+1 2X X+1 X+2 X+1 0 2X+1 2X+1 1 2X+2 2 2 X+1 1 2 X+1 X+1 2X+2 X+2 2X+1 X X 2X X+1 2X 2X+1 2X 2X+2 X+1 X 2X+1 X+2 0 X+1 0 X+1 2X 0 X+2 2X+2 2X+1 2X X X+1 0 X+1 0 0 0 0 0 2X 0 2X 0 0 2X 2X 0 0 X X X X X 2X X X X X 0 0 0 0 2X X 2X X X 2X X 2X X 2X X X X 2X 0 X X 2X 0 0 2X 2X 0 0 0 0 0 2X X 2X 0 2X 0 2X 0 X 2X X 0 2X X 0 X 0 0 X 0 0 2X 2X X X 2X 0 X 2X 0 2X 0 2X 0 0 2X 2X 0 2X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X 2X 2X 2X X 2X 2X X 2X 2X X 2X 2X 2X X X X 2X X X X X 2X 2X 2X X 2X 2X 2X X 2X 0 2X X 2X X X X X X X 0 0 X 0 2X X 0 2X 0 2X X 0 X 0 X X 2X 2X X X X 0 X 0 2X 2X 0 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+240x^172+390x^173+198x^174+858x^175+1068x^176+308x^177+1548x^178+2010x^179+596x^180+2316x^181+2484x^182+712x^183+2838x^184+3138x^185+696x^186+3450x^187+3378x^188+842x^189+3660x^190+3324x^191+1012x^192+3384x^193+3480x^194+828x^195+3108x^196+3090x^197+584x^198+2412x^199+2034x^200+380x^201+1374x^202+1134x^203+238x^204+750x^205+540x^206+76x^207+228x^208+138x^209+40x^210+78x^211+36x^212+12x^213+12x^216+10x^219+6x^222+4x^225+2x^228+2x^237+2x^246 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 83.8 seconds.