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 3 1 1 1 3 3 1 1 1 3 1 1 1 1 1 3 1 3 1 1 1 1 1 1 3 3 1 3 1 3 0 0 1 0 1 1 1 1 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 6 3 3 6 6 3 6 3 3 6 6 0 0 6 6 3 0 6 3 3 3 6 6 0 0 6 6 3 3 3 6 6 6 3 3 3 3 3 0 0 0 0 3 3 0 0 0 6 3 0 3 0 3 6 6 3 0 3 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 3 3 6 6 6 6 3 0 6 0 0 0 6 6 6 3 6 3 0 6 6 3 0 3 6 3 3 6 3 0 6 3 3 0 0 3 6 6 6 3 0 3 6 3 0 6 6 6 0 3 0 3 6 0 3 6 6 3 3 6 0 3 3 6 3 6 0 0 0 0 3 0 0 0 0 0 0 0 0 3 3 6 3 0 3 6 3 0 3 3 3 6 6 0 0 6 0 6 6 6 6 3 6 0 6 3 3 0 0 6 6 6 0 6 0 3 0 3 6 6 0 0 0 6 6 6 6 6 0 3 0 3 6 0 6 6 6 0 3 6 6 3 0 3 3 3 3 0 0 0 0 0 3 0 0 0 0 3 6 6 6 6 6 3 0 3 6 6 6 0 3 0 3 6 3 6 0 0 0 6 6 0 0 3 0 3 0 0 6 3 0 6 6 0 6 6 0 3 6 3 0 3 3 0 0 3 6 6 0 6 6 0 0 0 0 3 6 3 6 3 6 3 0 0 6 6 0 3 0 0 0 0 0 0 3 0 0 3 6 0 6 6 3 3 3 6 3 3 0 3 6 6 6 0 3 3 0 3 3 0 3 6 6 0 3 0 3 0 0 0 6 0 6 6 3 0 0 6 6 3 0 0 6 0 0 6 6 0 0 3 6 6 6 3 3 6 6 6 3 3 3 3 3 0 6 6 3 6 3 3 0 0 0 0 0 0 3 0 6 6 3 0 6 6 3 6 6 3 6 0 0 3 6 0 6 6 3 3 3 0 0 0 3 3 6 3 6 3 3 3 6 3 3 0 0 3 0 0 0 6 6 0 3 3 6 0 0 0 0 0 3 3 0 6 6 0 6 6 3 6 0 0 0 6 0 0 6 3 6 6 0 0 0 0 0 0 0 0 3 6 6 6 6 3 0 3 3 0 0 3 3 6 0 0 3 0 6 0 0 6 0 3 3 6 3 6 0 6 6 6 6 3 0 0 6 6 6 3 6 6 3 6 0 0 0 6 6 6 6 6 3 3 6 6 0 6 6 6 3 3 0 6 0 0 0 3 6 6 6 0 3 6 generates a code of length 81 over Z9 who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+68x^138+232x^141+352x^144+6x^145+436x^147+126x^148+478x^150+360x^151+518x^153+828x^154+506x^156+1872x^157+484x^159+2628x^160+540x^162+3132x^163+494x^165+2304x^166+530x^168+1386x^169+444x^171+408x^172+406x^174+72x^175+378x^177+256x^180+172x^183+146x^186+74x^189+20x^192+18x^195+2x^198+4x^201+2x^204 The gray image is a code over GF(3) with n=243, k=9 and d=138. This code was found by Heurico 1.16 in 15.8 seconds.