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 3 1 1 3 1 1 1 1 1 3 1 3 1 1 3 0 3 0 0 0 0 0 0 0 0 3 6 6 3 3 3 0 6 3 6 3 0 3 0 6 3 0 6 3 6 6 6 3 3 3 0 6 6 0 0 0 3 6 3 3 3 0 6 3 6 3 3 3 3 0 0 0 6 0 3 6 0 0 3 3 6 0 0 0 0 3 0 0 0 0 3 6 6 6 0 0 6 3 6 3 0 3 3 0 6 6 0 3 3 6 0 3 0 6 6 6 3 6 0 6 6 3 3 6 6 6 6 0 6 0 6 0 3 3 0 0 6 6 3 0 0 3 0 6 3 3 6 6 3 6 0 0 0 0 3 0 0 3 6 0 6 0 0 6 3 3 6 0 3 0 6 0 6 6 0 6 0 3 6 6 3 3 3 6 0 0 6 6 3 0 6 3 6 6 3 3 3 3 6 0 0 0 0 6 0 6 6 3 6 0 6 0 6 3 0 0 3 3 0 0 0 0 0 3 0 6 6 3 0 6 6 6 0 6 6 0 6 3 0 6 6 0 3 6 0 6 3 0 3 0 3 0 6 0 6 0 6 6 3 0 3 6 3 0 6 6 6 3 3 3 3 3 0 6 3 0 0 0 0 0 6 6 0 3 6 3 0 0 0 0 0 0 3 6 6 6 6 6 6 3 6 3 3 6 3 6 6 6 6 0 6 0 3 0 0 6 3 6 0 6 3 0 3 3 0 0 3 0 3 6 3 6 3 3 0 3 3 3 6 0 3 0 0 3 3 3 3 3 3 6 6 3 0 0 3 generates a code of length 68 over Z9 who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+274x^126+60x^129+240x^132+708x^135+480x^138+192x^141+142x^144+56x^153+30x^162+2x^171+2x^189 The gray image is a code over GF(3) with n=204, k=7 and d=126. This code was found by Heurico 1.16 in 24.3 seconds.