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 1 1 1 3 1 1 1 3 3 1 1 1 1 3 1 3 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 9 18 9 9 9 0 9 9 9 9 0 9 18 9 18 0 9 9 9 9 0 0 9 9 18 9 9 18 0 0 0 9 9 18 0 18 9 9 18 0 0 9 0 18 18 18 0 9 0 0 9 0 9 9 9 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 0 9 9 18 18 0 0 9 9 9 0 9 18 9 0 0 9 9 9 18 9 0 18 0 18 9 0 9 9 18 18 9 9 9 0 0 18 0 9 18 0 9 18 9 0 9 18 9 0 9 18 0 9 0 18 18 0 9 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 0 0 9 18 0 0 0 9 9 18 0 9 0 9 18 18 18 0 18 9 0 0 9 9 0 18 18 9 18 9 18 0 18 9 18 9 9 9 18 9 0 0 0 18 18 18 9 0 0 18 0 18 0 9 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 9 0 18 18 0 18 9 18 18 9 9 0 18 9 9 9 9 18 0 0 9 0 18 18 9 9 9 18 0 0 0 0 9 18 9 0 0 18 0 0 0 18 0 0 9 0 9 9 0 0 9 18 0 18 9 18 0 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 0 9 18 9 18 18 18 18 9 9 9 18 0 0 0 9 9 9 0 9 18 9 0 18 9 0 9 0 0 18 18 18 18 9 18 18 18 9 18 18 9 9 0 9 18 9 9 18 9 18 0 0 0 0 0 0 0 0 0 0 9 18 18 18 18 18 18 9 9 9 0 18 0 0 9 0 18 18 18 0 9 18 18 0 0 9 0 9 18 18 9 0 18 18 18 0 0 0 0 0 0 0 9 0 18 9 18 9 18 9 18 0 0 9 9 9 9 18 9 18 9 0 18 0 18 9 9 0 9 0 generates a code of length 76 over Z27 who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+124x^135+210x^138+222x^141+18x^142+254x^144+180x^145+184x^147+720x^148+196x^150+1440x^151+13122x^152+150x^153+1440x^154+114x^156+576x^157+158x^159+170x^162+112x^165+94x^168+74x^171+60x^174+24x^177+10x^180+22x^183+6x^186+2x^213 The gray image is a code over GF(3) with n=684, k=9 and d=405. This code was found by Heurico 1.16 in 21.8 seconds.