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 1 3 1 1 1 1 1 1 3 1 1 1 1 1 1 3 1 1 3 3 1 1 1 3 0 9 0 0 0 0 0 0 0 0 0 0 0 0 9 18 18 9 18 18 18 9 18 18 9 9 9 0 9 9 9 18 0 0 18 9 9 18 0 18 0 9 9 9 18 0 0 0 18 9 0 18 9 0 0 0 9 9 18 9 0 9 0 18 0 18 18 9 9 0 18 9 18 9 9 9 9 18 9 18 18 9 0 9 9 0 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 9 9 18 18 18 18 18 18 9 18 0 9 18 0 18 0 9 9 0 18 0 9 9 0 0 9 9 18 0 0 9 18 9 9 0 0 0 18 0 0 9 18 18 18 18 18 18 18 18 18 9 9 0 18 0 0 0 18 9 0 0 9 9 0 0 0 9 0 0 0 0 9 18 18 18 0 0 9 0 9 18 9 18 18 18 0 9 9 0 18 9 0 0 0 9 9 9 18 18 18 0 9 0 0 18 18 0 18 9 9 0 0 9 9 18 18 0 0 9 0 0 9 9 18 18 9 18 18 0 9 0 9 9 9 9 0 0 18 9 0 0 18 0 18 9 0 9 9 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 9 0 0 0 9 0 0 18 9 9 9 0 0 18 0 18 18 18 0 18 9 9 18 0 9 9 18 9 0 18 18 9 9 9 0 18 0 0 0 0 18 18 0 9 0 18 0 9 9 9 9 18 0 9 9 0 18 0 9 9 0 9 0 18 0 0 0 0 0 9 0 18 18 9 0 18 18 18 18 18 18 0 9 0 0 18 0 18 9 9 18 18 9 0 0 18 18 18 18 0 0 18 9 0 18 0 18 9 18 0 9 9 18 9 0 0 18 18 0 9 9 9 0 9 9 0 9 18 0 0 0 0 9 18 0 0 18 18 0 0 0 9 9 18 0 9 0 9 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 9 9 9 9 18 0 0 9 18 0 9 18 18 9 9 18 18 0 9 18 9 0 9 0 0 9 18 9 9 9 9 0 9 9 0 18 18 0 18 18 0 0 0 18 18 9 18 9 0 0 9 18 0 0 9 18 9 9 18 18 9 9 9 18 generates a code of length 87 over Z27 who´s minimum homogenous weight is 156. Homogenous weight enumerator: w(x)=1x^0+102x^156+194x^159+222x^162+302x^165+562x^168+1222x^171+14688x^174+1216x^177+566x^180+132x^183+104x^186+110x^189+62x^192+62x^195+58x^198+46x^201+20x^204+6x^207+4x^210+2x^213+2x^243 The gray image is a code over GF(3) with n=783, k=9 and d=468. This code was found by Heurico 1.16 in 5.03 seconds.