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 3 1 1 3 1 1 1 3 1 3 1 3 1 1 1 1 1 1 1 1 1 3 3 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 18 0 0 18 18 18 18 9 9 0 0 9 9 9 9 9 18 18 9 9 18 9 18 9 9 0 9 0 18 9 18 9 18 9 9 18 9 18 18 0 9 9 0 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 18 18 0 0 9 9 18 9 9 9 9 0 18 0 0 9 0 0 9 18 9 0 18 9 18 9 0 18 9 0 9 9 0 18 9 9 0 0 18 9 9 0 9 9 18 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 18 18 0 9 9 0 9 9 0 9 0 0 18 9 0 9 18 9 9 18 9 0 0 18 18 18 9 9 0 18 9 0 18 9 9 18 9 18 18 18 9 9 9 18 18 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 0 9 0 0 0 0 9 0 9 18 0 9 18 9 9 18 18 0 9 0 0 18 0 9 0 18 9 0 9 9 0 0 0 18 9 0 9 0 9 9 18 0 18 18 18 18 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 18 0 18 18 0 0 9 0 0 9 0 0 0 9 9 18 0 0 0 9 18 9 9 18 0 9 18 18 9 18 9 18 18 18 0 18 0 0 0 18 0 9 18 18 9 9 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 0 18 0 9 18 9 9 18 0 0 0 0 18 18 9 9 0 0 9 18 18 0 0 9 0 18 9 9 9 18 9 18 9 18 9 0 18 18 9 9 0 0 18 18 18 generates a code of length 81 over Z27 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+94x^144+168x^147+236x^150+30x^151+238x^153+180x^154+204x^156+540x^157+188x^159+1110x^160+13284x^162+1386x^163+198x^165+864x^166+112x^168+264x^169+104x^171+104x^174+104x^177+98x^180+68x^183+56x^186+26x^189+14x^192+4x^195+6x^198+2x^222 The gray image is a code over GF(3) with n=729, k=9 and d=432. This code was found by Heurico 1.16 in 4.47 seconds.