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 3 1 1 3 1 1 3 1 1 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 0 9 0 0 0 0 0 0 0 0 9 18 18 9 9 9 0 18 9 18 9 0 9 0 18 9 0 18 9 18 18 18 9 9 0 9 18 18 0 0 0 9 18 9 9 9 0 18 9 18 9 0 9 18 0 18 18 9 18 9 0 0 18 18 18 9 18 18 0 18 0 9 9 0 0 9 9 0 0 0 0 9 0 0 0 0 9 18 18 18 0 0 18 9 18 9 0 9 9 0 18 18 0 9 9 18 0 9 0 18 18 18 9 0 18 18 18 9 9 18 18 18 18 0 18 0 18 0 9 9 0 0 0 9 0 0 9 18 9 18 9 0 18 9 0 9 18 9 18 9 0 0 18 0 0 9 0 0 0 0 0 9 0 0 9 18 0 18 0 0 18 9 9 18 0 9 0 18 0 18 18 0 18 0 9 18 18 9 9 9 18 0 18 0 18 9 0 18 9 18 18 9 9 9 9 18 0 0 0 9 0 0 9 18 0 0 18 18 0 0 9 18 9 9 9 0 9 9 9 9 0 0 0 18 0 18 0 0 0 0 0 9 0 18 18 9 0 18 18 18 0 18 18 0 18 9 0 18 18 0 9 18 0 18 9 0 9 0 9 0 18 18 0 0 18 18 9 0 9 18 9 0 18 18 18 9 9 9 0 9 0 18 0 0 9 0 9 0 9 0 9 18 18 18 9 0 0 18 0 0 9 9 18 18 18 0 0 0 0 0 0 9 18 18 18 18 18 18 9 18 9 9 18 9 18 18 18 18 0 18 0 9 0 0 18 9 18 0 18 9 9 0 9 0 0 9 0 9 18 9 18 9 9 0 9 9 9 9 18 18 18 9 0 18 18 18 9 0 18 0 18 18 0 9 18 9 9 9 9 0 9 18 18 18 0 generates a code of length 79 over Z27 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+44x^144+84x^147+6x^148+118x^150+60x^151+84x^153+240x^154+102x^156+480x^157+4374x^158+64x^159+480x^160+50x^162+192x^163+28x^165+36x^168+22x^171+24x^174+24x^177+18x^180+12x^183+6x^186+6x^189+2x^192+2x^195+2x^222 The gray image is a code over GF(3) with n=711, k=8 and d=432. This code was found by Heurico 1.16 in 0.649 seconds.