The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 1 0 1 1 1 1 X 1 1 X 1 1 1 2X 1 1 0 1 1 1 X 1 1 1 X 1 1 1 2X 1 1 0 1 1 0 1 1 1 1 1 1 2X 1 1 0 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 X 1 1 1 1 X 1 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 2X+1 0 1 2 2X+1 2 X 1 1 2X 1 X+2 2X 2X+1 1 2X+1 X 1 1 X+2 0 1 2X+2 2X 2X+1 1 2X+2 X+2 2X+1 1 2X+2 X+1 1 2 0 1 2X+2 X 2X 2X+2 X+2 0 1 X+1 X 1 1 X+1 2 2X+1 2 2X+2 2 1 X+2 X+2 X+2 X+2 X+1 2X X+2 X+1 1 2X+2 2X 2X+1 1 2X 2 1 X 0 2X+1 1 1 2X+1 X+1 2X 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X 2X X 0 2X X 2X 0 X X 2X X 2X 0 0 X X X X 2X 2X 2X X 0 2X X X X X 2X 2X 0 2X X X X 0 0 2X 2X 0 0 X 2X 0 0 0 0 2X 2X 2X 0 2X X 2X 2X 0 0 0 X 2X 0 2X 0 X 2X 2X 0 X X 0 X 2X 2X X 0 0 0 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 0 2X 2X 2X X X 0 X 0 X 0 2X X 2X 0 2X X X X X X 2X 2X X X 2X 0 2X 2X X X 0 0 X 0 X X 0 0 X X X X X 2X 0 2X 0 0 0 0 0 X X 0 2X 2X X X X X 2X 2X 2X X 2X X X 0 0 2X X 0 0 0 X 0 2X 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 0 X 0 0 X 2X 2X 2X 2X X 2X 0 X X X 2X 2X X 0 0 2X 0 0 2X 0 X 2X X 0 0 2X X X 2X 0 2X 0 0 2X X X X 0 2X 0 2X 0 0 X 0 2X X 2X X 2X X 0 X 0 0 X X 2X X X 2X 2X 0 X 2X X 2X X 2X 0 0 2X 2X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 0 0 0 X 0 0 2X 2X 2X 2X 2X X X X 2X X X 0 2X X 0 0 2X X 0 0 0 X 0 0 X 0 0 X X 0 2X 2X 0 X X 2X X 0 X 2X 0 X 0 2X 2X X 2X X 0 X 0 0 2X 2X 2X 0 2X 2X X 0 X X X X 0 0 X 2X X 0 2X 0 generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+70x^180+36x^181+54x^182+346x^183+162x^184+162x^185+500x^186+168x^187+180x^188+462x^189+156x^190+234x^191+522x^192+228x^193+228x^194+446x^195+234x^196+228x^197+376x^198+222x^199+138x^200+382x^201+132x^202+150x^203+210x^204+84x^205+78x^206+194x^207+18x^208+6x^209+48x^210+18x^211+26x^213+10x^216+12x^219+22x^222+4x^225+2x^228+8x^234+2x^237+2x^240 The gray image is a linear code over GF(3) with n=291, k=8 and d=180. This code was found by Heurico 1.16 in 1.29 seconds.