The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 X X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X 2X X 2X X X 2X X 0 2X 2X 0 X X 2X X 0 X X X 2X 0 0 2X 2X 0 2X 0 2X 0 X X X X 0 0 X X 0 2X 2X 2X 2X 0 X X 0 0 X X 2X 2X 0 0 X X 2X 0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X 2X X 0 2X 0 0 2X 0 X 2X X X X 2X 0 0 0 X 2X 2X X 0 X X 2X 2X 2X 2X 0 X 2X 2X 2X X 2X 2X 2X 2X 2X 2X 0 0 2X 0 X 0 2X 0 X 0 0 2X X 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 2X 0 X 0 2X 2X 0 X 0 X 2X X 2X 2X 0 X X 2X X 2X X X 0 X X 0 0 0 2X 2X X X 2X X 0 2X X 0 2X 2X 0 2X 0 2X X 2X 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X 2X X X X X X 2X 2X 2X 0 0 0 2X 2X 2X 2X 2X X X 2X 0 2X 0 X 0 X X 0 2X X 2X 2X 2X X X 2X 0 0 X 0 2X X 2X 2X 2X 0 2X 0 0 2X 2X X 0 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 0 2X X 0 0 X X 2X X 0 2X X 0 2X 0 0 X 2X 2X X 2X X 2X 2X 2X 2X X X X 0 0 0 2X X 2X 0 0 0 X 2X X 0 2X 0 X X 2X X 2X 2X X 0 2X 2X 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X X X 0 2X 0 0 X 0 2X 2X 2X 2X X 0 X 2X 2X 0 0 0 0 0 2X 0 X X X 2X X X X 0 0 2X 2X 2X 2X 2X 2X 2X X 0 X 0 X 2X X X X 2X X X 0 0 X 2X 2X 2X 2X X 2X 0 generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+158x^135+166x^138+210x^141+18x^142+284x^144+180x^145+150x^147+720x^148+166x^150+1440x^151+222x^153+1440x^154+150x^156+576x^157+140x^159+138x^162+92x^165+102x^168+70x^171+78x^174+26x^177+12x^180+12x^183+2x^186+6x^189+2x^213 The gray image is a linear code over GF(3) with n=228, k=8 and d=135. This code was found by Heurico 1.16 in 95.4 seconds.