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 1 1 1 1 1 3 1 1 3 1 3 3 1 1 1 3 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 9 18 9 18 9 0 18 18 9 9 0 18 0 0 9 18 9 18 0 9 9 9 0 0 9 9 9 9 0 18 0 0 9 0 0 9 9 9 18 18 9 0 18 9 9 9 9 9 9 18 18 9 0 0 18 0 0 0 9 0 0 0 0 0 0 0 0 9 18 18 18 18 0 9 0 9 9 18 9 18 0 18 0 9 0 18 0 0 9 18 0 9 18 0 18 9 9 9 0 18 18 9 0 18 9 18 9 0 9 18 9 18 0 9 18 18 18 0 18 0 18 0 0 0 18 9 9 9 18 0 18 0 18 9 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 18 0 0 18 18 18 18 18 9 18 18 0 18 0 9 18 18 9 0 9 0 0 9 9 18 9 9 9 9 18 9 9 0 9 18 0 18 18 0 0 9 9 18 9 0 0 9 18 18 0 18 0 18 9 9 0 0 0 0 0 9 0 0 9 18 0 18 0 0 18 18 9 9 9 18 9 0 18 9 18 9 9 9 18 18 18 18 18 18 9 18 9 18 18 0 9 0 9 18 9 18 18 9 0 0 9 18 0 18 18 0 0 0 0 0 9 9 0 9 0 9 18 18 9 0 0 0 18 0 0 18 9 18 9 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 18 0 9 0 0 9 18 9 18 18 0 0 18 9 18 0 18 18 18 9 9 18 9 0 9 9 18 9 18 9 18 0 18 18 18 18 0 0 9 0 18 0 0 0 18 0 9 9 0 18 0 18 18 18 9 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 18 9 18 18 9 9 18 18 18 0 0 18 18 9 0 9 9 9 18 18 0 9 18 0 18 9 0 18 9 18 0 9 9 18 9 18 9 9 0 9 0 9 0 0 18 9 0 9 18 0 0 18 9 generates a code of length 78 over Z27 who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+82x^138+158x^141+236x^144+18x^146+214x^147+180x^149+246x^150+720x^152+212x^153+1440x^155+13308x^156+1440x^158+134x^159+576x^161+134x^162+112x^165+122x^168+94x^171+78x^174+80x^177+46x^180+28x^183+12x^186+6x^189+4x^195+2x^219 The gray image is a code over GF(3) with n=702, k=9 and d=414. This code was found by Heurico 1.16 in 4.15 seconds.