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 X 1 1 1 1 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 0 2X+2 2 1 X 2X+2 2 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 2X 2X X+1 X+1 2 2X+1 2X 2 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+2 2X+1 X+2 0 X X+2 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 X 2X 0 X X 0 0 X 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+282x^172+420x^173+136x^174+774x^175+786x^176+258x^177+1104x^178+1278x^179+296x^180+1092x^181+1098x^182+298x^183+1122x^184+1308x^185+284x^186+1086x^187+996x^188+324x^189+996x^190+882x^191+202x^192+888x^193+876x^194+176x^195+648x^196+582x^197+124x^198+420x^199+300x^200+42x^201+234x^202+162x^203+20x^204+78x^205+60x^206+20x^207+18x^208+6x^210+6x^211 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 32.5 seconds.