The generator matrix 1 0 0 0 1 1 1 1 0 1 2X 2X 1 X 1 0 1 1 1 1 1 1 1 2X X 1 1 1 X 0 1 1 1 1 0 1 1 1 2X 1 0 1 1 1 1 0 1 2X X 1 1 1 1 1 1 2X 1 1 1 X 1 X 1 1 2X 1 1 1 1 1 2X 1 2X X 1 0 1 1 1 1 X 1 0 1 1 2X 1 1 1 1 1 1 1 2X 1 1 0 1 0 0 0 0 2X 2X 2X 2X 1 1 1 1 X+2 1 2X+1 2X+2 2 2X+1 X+2 2X+2 2X+2 1 0 X+1 X+1 1 1 1 X+1 2 X+2 2X 1 2 2 X 1 X 1 X 0 2 2X+2 1 X+2 1 X 1 0 X 2X+1 2X+2 X 1 X+2 2X X+2 X 2X+1 1 1 2X+2 1 2X+1 X+1 X+1 1 X+1 1 X 0 0 X+1 0 0 2 X+2 0 1 X 1 0 X X 1 X+1 X+1 0 2X+2 X+2 2 X 2X+1 0 0 0 1 0 0 1 2X+2 2X+1 1 2 2X+1 2X+2 1 X+2 2X+1 X 1 2X+2 2X 0 2X 2 2X+1 2 1 X+2 2X 1 2X X+1 X+2 X+2 0 0 2X+1 2X+1 1 X+2 X+2 2X 1 1 X+1 2 2 X 2X+1 2X 1 X 2X+1 2 1 0 2X+1 X X+2 0 0 1 2X+1 2X+2 2X 1 2X+2 2X+2 X 2X+2 0 2X 2X+1 X 1 1 0 1 1 X+2 X+1 X+1 X X X 2X 2 1 2X+1 2 0 2X+1 2X+1 X+2 2X+2 X 0 X 0 0 0 1 1 X+1 2X+1 2 2 0 2X+2 1 2X X X+1 2X+1 2X+1 2 2X+2 2X+2 X 0 2X 2X+2 2X+1 X+2 2X+1 2X+2 X+2 0 2X 1 1 2X+2 X+2 2X X+2 X X+2 X+2 X+1 X+2 0 1 2 X+1 X+1 0 1 1 0 2X+1 X+1 1 2X+2 X+1 1 2X+1 2X 2 X+2 X 2 0 2X+1 2X+1 X 2X+2 0 X 1 2X 2 2 X+1 X X+1 1 2X+1 X+1 2X+2 X+1 1 2X+1 2X+2 X+2 0 2X+2 2 2X+2 2X+1 0 X 1 2X+2 X 0 0 0 0 2X 2X 2X X X 2X X 2X 0 0 2X 2X 2X X X X 0 X 2X 0 X 0 0 2X 2X 2X 2X 0 0 0 0 X 0 X 2X X 0 2X X 2X 0 X X 2X 2X X 2X 0 0 X 0 0 X X 2X X 0 2X 0 0 0 X X X 0 2X X 2X 0 2X 2X 0 X 2X 0 0 0 0 2X X 2X 2X X X 0 2X 2X 2X 0 X 2X 2X generates a code of length 96 over Z3[X]/(X^2) who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+98x^177+126x^178+276x^179+696x^180+390x^181+336x^182+1390x^183+570x^184+636x^185+1382x^186+522x^187+546x^188+1560x^189+672x^190+648x^191+1312x^192+432x^193+564x^194+1312x^195+480x^196+378x^197+1136x^198+444x^199+432x^200+868x^201+384x^202+228x^203+596x^204+228x^205+210x^206+344x^207+66x^208+54x^209+156x^210+36x^211+48x^212+68x^213+12x^214+12x^215+16x^216+12x^217+6x^218 The gray image is a linear code over GF(3) with n=288, k=9 and d=177. This code was found by Heurico 1.16 in 11.1 seconds.