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 3 1 1 3 3 1 1 1 1 3 3 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 6 6 6 3 3 6 3 6 0 6 3 6 3 0 3 6 6 0 0 6 0 6 3 6 6 0 6 6 3 3 0 6 0 3 3 6 0 3 6 3 3 0 3 3 0 3 3 0 3 0 0 3 0 0 0 0 0 0 0 0 3 6 6 6 6 0 3 0 3 3 6 3 6 0 3 6 0 6 0 3 3 0 6 6 3 6 3 6 3 3 6 0 3 6 0 3 3 6 0 6 0 0 0 3 6 6 6 6 0 3 0 3 0 6 3 3 0 0 0 3 0 0 0 0 3 6 6 6 0 0 3 0 3 6 3 6 6 6 6 0 0 0 6 6 0 3 3 3 3 6 3 6 3 3 6 3 0 3 0 0 6 6 6 6 6 0 0 0 0 6 3 0 6 6 3 3 6 0 6 6 6 0 0 0 0 0 0 3 0 0 3 6 0 6 0 0 6 6 3 3 3 6 3 0 6 3 6 3 0 3 6 0 3 0 0 0 6 3 6 3 3 3 6 3 3 0 6 3 3 3 6 6 0 6 6 3 3 3 3 3 0 6 6 0 3 6 3 0 6 0 0 0 0 0 0 3 0 6 6 3 0 6 6 6 6 6 6 0 3 0 0 6 6 0 6 3 6 0 0 3 6 3 6 3 6 6 6 6 6 0 3 3 0 6 3 0 0 0 3 3 0 0 3 0 0 6 6 0 0 6 0 3 6 0 0 3 0 0 0 0 0 0 0 3 6 6 6 6 6 6 3 3 3 0 6 0 0 3 0 6 6 6 0 3 3 0 3 0 0 6 3 0 3 0 6 0 6 0 0 3 0 3 3 0 3 6 0 6 0 6 6 3 6 6 0 0 0 6 3 6 3 3 3 6 generates a code of length 67 over Z9 who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+104x^117+202x^120+204x^123+18x^124+250x^126+180x^127+196x^129+720x^130+190x^132+1440x^133+170x^135+1440x^136+160x^138+576x^139+190x^141+158x^144+94x^147+94x^150+84x^153+42x^156+22x^159+16x^162+6x^165+2x^174+2x^186 The gray image is a code over GF(3) with n=201, k=8 and d=117. This code was found by Heurico 1.16 in 1.38 seconds.