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 3 1 1 1 1 1 3 1 1 3 1 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 3 6 6 6 0 3 3 3 6 3 0 6 6 3 6 3 3 3 3 3 6 3 3 3 6 3 6 3 0 3 3 6 3 3 3 3 6 3 3 3 3 3 0 3 3 6 6 0 3 6 0 0 0 3 0 0 0 0 0 0 0 0 3 6 6 6 6 0 3 3 6 3 6 0 3 3 0 3 3 3 3 0 3 0 6 0 0 3 3 0 3 0 3 0 6 6 3 6 6 3 3 3 0 6 3 3 3 0 0 6 3 6 0 6 3 0 0 6 0 0 0 0 3 0 0 0 0 3 6 6 6 0 0 3 0 3 6 6 0 3 0 6 3 0 0 3 6 6 0 0 3 6 0 6 6 0 6 3 6 6 0 6 3 3 6 0 6 0 3 0 3 6 6 3 0 0 3 3 6 3 6 3 3 6 6 3 0 0 0 0 0 3 0 0 3 6 0 6 0 0 6 6 3 3 3 0 6 6 6 3 6 3 3 3 6 3 0 0 0 0 3 3 0 6 0 6 0 0 3 3 0 3 6 0 6 0 0 6 6 3 3 6 6 3 3 0 0 6 0 3 3 0 0 0 3 0 0 0 0 0 3 0 6 6 3 0 6 6 6 6 6 6 0 0 0 6 3 0 3 0 6 3 3 0 0 6 0 0 3 3 3 6 6 6 3 0 3 0 0 6 0 3 3 0 0 6 3 0 3 0 3 3 0 6 3 3 6 6 6 3 3 3 6 0 0 0 0 0 0 3 6 6 6 6 6 6 3 3 3 0 6 3 6 6 6 3 0 6 6 3 6 0 0 3 3 3 3 6 3 0 3 3 6 0 3 0 3 6 3 0 0 6 0 3 6 6 0 3 6 6 6 6 0 0 0 3 3 0 6 0 3 generates a code of length 68 over Z9 who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+34x^117+144x^120+168x^123+284x^126+380x^129+946x^132+1616x^135+1596x^138+740x^141+166x^144+146x^147+106x^150+110x^153+44x^156+36x^159+26x^162+10x^165+2x^168+2x^171+2x^174+2x^189 The gray image is a code over GF(3) with n=204, k=8 and d=117. This code was found by Heurico 1.16 in 1.33 seconds.