The generator matrix 1 0 0 0 1 1 1 1 1 2X 1 1 1 1 1 1 1 2X 1 X 1 1 1 1 0 2X 0 0 2X 1 1 1 1 1 0 1 2X X 0 2X 1 1 1 1 0 1 1 1 2X 1 1 1 1 X X 1 2X 1 1 1 X 0 1 1 1 X 1 1 1 1 1 1 1 1 X 0 1 1 1 1 X 1 1 1 0 1 1 1 0 1 1 2X X 0 1 0 0 0 0 2X+1 2X+1 X+1 1 2 X+2 2X 2X+2 1 X+2 X+2 1 2X 0 2X+1 1 X 2 1 1 1 1 1 1 X+2 X 2X+1 2X 1 2X+2 1 1 1 2X X+1 X 2X+2 1 2X X+2 0 2X+2 1 X+2 X+2 X+1 2X+1 0 2X X 1 1 2X X 1 0 1 2X+2 2 X 2X+1 2X+2 2X+1 2X X 2X+2 X+2 2X+1 1 1 2X 1 1 X+1 1 2X+1 2X+2 2X 1 X 0 2X+2 1 X+1 2 1 0 0 0 1 0 0 X X 2X 0 0 2X 2X 2X+1 1 1 2X+2 2 X+1 X+1 1 2X+1 X+2 1 1 X+2 2X+2 2X+2 X 2X+1 2X+2 2X X+2 X+1 X+2 X X+1 2X+1 2 2 1 1 X+1 X+2 X+2 1 X 1 X 2X 2 X X+2 X+1 1 1 2X+1 X X 2 0 0 1 X 0 1 1 0 X 0 2X X+2 X+2 1 2X X+1 2 X+1 X+1 1 2X+2 2 2 2 2 2X+1 2 0 X+2 X+2 1 2X+2 2X 1 0 0 0 1 1 2X+2 2 1 0 X+2 0 2X+1 X 2X X X+1 0 X+1 2X+1 X+1 X+2 0 2 2X+1 X 2X+1 2X+2 X+1 2X+2 2X+2 2X+2 2 1 1 0 2 2X 0 2 2 0 2X+2 2 1 X 2X+1 X 0 2 1 X+2 2X X+1 2X X+2 X+1 1 X 2X 1 2X 2X+1 X X X X+1 1 X 2X+1 1 X+2 2X+2 X+1 2X+2 X+1 X+2 0 X+2 2 X+1 1 2X+1 1 X 2 2X 2 X 2X 2X+1 2X+2 2X+2 2X+2 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X X 2X X 2X 0 0 0 X 0 2X 0 X X X 2X 0 X X X X 0 0 0 2X 0 X 0 2X 2X X X 2X 0 2X 0 X 2X X X X X X 2X 0 X 2X 2X X X X 0 X X 0 X 0 2X X 0 2X 2X X 0 0 2X 0 2X 0 generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 172. Homogenous weight enumerator: w(x)=1x^0+258x^172+438x^173+190x^174+696x^175+816x^176+262x^177+1176x^178+1092x^179+278x^180+1164x^181+1254x^182+268x^183+1080x^184+1278x^185+256x^186+1122x^187+1050x^188+272x^189+978x^190+996x^191+226x^192+918x^193+684x^194+168x^195+558x^196+534x^197+168x^198+474x^199+396x^200+72x^201+240x^202+150x^203+14x^204+78x^205+42x^206+10x^207+6x^208+12x^209+6x^212+2x^213 The gray image is a linear code over GF(3) with n=279, k=9 and d=172. This code was found by Heurico 1.16 in 12.1 seconds.