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 3 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 3 1 3 1 1 1 3 1 1 1 3 1 1 3 1 3 1 1 3 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 0 18 9 0 18 18 9 18 9 18 18 0 9 0 18 9 9 0 18 9 9 0 9 18 18 9 9 9 18 18 18 18 0 9 0 18 9 9 0 0 0 0 0 9 18 18 18 18 9 18 0 9 0 0 9 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 9 18 0 18 0 0 9 0 18 0 9 18 9 9 18 9 9 18 9 18 9 0 18 0 9 9 18 0 18 0 18 9 18 9 9 9 0 9 9 9 18 0 18 0 18 18 9 9 0 0 18 18 18 9 18 18 0 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 0 18 18 0 0 18 18 18 0 0 9 18 18 9 18 0 9 18 9 0 9 0 0 18 9 9 18 18 9 9 18 18 0 18 9 0 0 9 0 9 0 9 0 18 0 9 0 18 18 0 18 18 0 9 9 0 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 0 9 18 0 9 0 0 18 9 18 18 0 0 0 0 18 18 9 18 0 9 18 9 9 9 0 0 0 18 18 9 0 18 9 0 0 9 0 0 0 18 0 18 18 9 0 9 18 18 0 9 9 18 9 18 18 0 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 18 0 18 9 18 0 0 9 0 9 18 18 18 18 9 18 0 9 9 18 0 18 0 0 0 0 0 18 0 0 18 9 9 0 9 18 9 18 18 9 9 0 9 0 0 9 18 18 9 0 0 18 9 0 9 9 9 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 9 0 0 18 0 9 0 18 18 0 9 0 9 18 18 18 0 9 9 18 0 9 18 18 18 18 18 9 0 18 9 0 18 9 0 9 0 0 18 0 18 9 18 18 18 0 0 9 18 18 18 18 18 18 0 generates a code of length 82 over Z27 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+44x^144+114x^147+232x^150+260x^153+548x^156+724x^159+1152x^162+13122x^164+1334x^165+1002x^168+528x^171+180x^174+118x^177+88x^180+56x^183+76x^186+54x^189+32x^192+8x^195+4x^198+4x^201+2x^216 The gray image is a code over GF(3) with n=738, k=9 and d=432. This code was found by Heurico 1.16 in 4.45 seconds.