The generator matrix 1 0 0 0 0 1 1 1 2X 0 2X 2X 1 1 2X X 1 1 1 2X 2X 1 1 1 1 1 1 1 2X 1 2X 1 1 1 1 0 1 1 1 0 2X 1 1 1 1 0 2X 1 1 0 1 0 2X 1 0 1 1 1 1 1 1 1 1 1 2X 1 X 1 1 1 1 1 1 2X X 1 0 1 0 0 0 0 0 0 0 1 1 1 X+2 2X+2 2X X 2 2X+2 2X 1 X X+2 2 2X+1 0 X 2X 1 1 2 0 X+2 X+1 2X+1 X 1 1 1 2X+2 1 1 2X 2X+1 2X+2 2X 1 1 2X+2 1 X 2X+2 1 1 1 1 1 2X+2 0 2X+1 X+2 2X+2 X X+1 2X 1 2X+2 1 X 1 X+1 2X 2 2X 1 1 0 0 0 1 0 0 0 1 2X+1 1 1 2X 2X+1 X+1 X 0 1 0 1 2 2X+2 1 X+2 X+2 2 2 2X+1 2 2X+2 X 1 1 2X 2X X+2 2 2 2X+2 X+1 2X+2 0 X 2X+1 2 X+1 X X X+1 X 2X+1 1 X+2 1 2X+2 2X X+2 2X X+1 0 0 1 X+2 X+1 2X+2 X+1 2X 2X+2 0 2 1 2X 2 1 X X+1 X+2 X 0 0 0 1 0 1 1 2X+2 X+1 X+1 2X+1 X+2 X+1 X 1 2 2X+1 0 2X+2 2X+2 0 1 X 1 X X X+1 0 2 2 X+2 X+2 2 X+1 2X X+2 X+2 X+2 2 2X+1 X 1 2 0 2 0 2 2X X+1 2X+1 2X+1 2X+1 X+1 X+1 0 2X 2X+2 X+1 2X+2 2X+1 2X+1 X+1 2X 1 2X+2 2X 0 2X+2 2X+2 1 X 2X+1 X+1 X 2X+1 2X+1 0 0 0 0 1 2 X 2X+2 2 X X+2 2 2 X+2 1 2X+1 1 2X X 0 2X+2 0 2X+1 X+1 2X 1 2X+1 2X+2 X+1 X+1 2X 0 1 2 2X+1 X+1 0 2X+2 2 2X 2 X+2 2 X+1 2 2X+1 1 2X 2 0 X+1 2 2X X+1 1 2X+2 2X X+2 1 1 2X 2 0 1 2 1 1 2X 1 2X X X 1 X 1 X 0 0 0 0 0 2X 0 2X 0 0 2X 2X 0 0 2X 2X 2X X 0 0 X X 2X X 2X 2X 2X X 0 0 X 0 0 2X X X 2X 0 2X X X X 2X 0 0 X 0 X X 2X 0 0 0 0 X X 2X 0 X 2X 2X 2X 0 2X X X 2X 2X X X 2X X X 2X X 2X generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 133. Homogenous weight enumerator: w(x)=1x^0+318x^133+606x^134+260x^135+1350x^136+1932x^137+680x^138+2910x^139+3810x^140+1324x^141+4920x^142+5874x^143+1826x^144+7770x^145+8586x^146+2332x^147+11004x^148+10872x^149+2702x^150+12042x^151+12918x^152+2994x^153+13080x^154+12600x^155+2804x^156+10878x^157+10158x^158+2278x^159+7866x^160+6408x^161+1342x^162+4380x^163+3216x^164+734x^165+1554x^166+1398x^167+274x^168+504x^169+276x^170+80x^171+150x^172+72x^173+32x^174+6x^175+6x^176+6x^177+4x^180+4x^183+4x^186+2x^192 The gray image is a linear code over GF(3) with n=228, k=11 and d=133. This code was found by Heurico 1.16 in 561 seconds.