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 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 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 0 6 6 3 3 6 6 6 0 3 3 0 6 6 3 6 3 0 6 0 3 3 3 0 0 0 0 6 6 0 0 6 3 6 0 6 6 3 0 6 0 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 0 3 0 0 6 3 6 3 3 6 6 6 3 6 6 3 6 6 3 0 3 3 3 6 3 6 6 3 3 3 6 6 6 6 6 3 0 6 6 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 0 6 6 6 0 0 3 6 6 3 6 6 0 0 3 3 3 0 6 6 0 3 6 6 6 6 0 6 3 6 0 6 6 3 3 3 3 6 0 0 3 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 6 6 3 6 0 0 0 3 3 0 0 0 3 3 6 3 0 3 3 6 3 0 6 3 0 3 6 0 6 6 0 0 3 0 3 3 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 0 3 6 6 6 6 3 6 0 0 6 0 6 6 3 0 0 3 0 0 3 0 6 6 6 3 3 3 0 6 6 3 3 3 0 0 3 0 3 3 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 0 6 0 3 6 0 6 0 3 0 6 0 3 3 3 0 3 6 3 0 0 3 3 3 0 3 0 3 3 6 6 0 0 3 0 0 6 6 0 0 6 generates a code of length 70 over Z9 who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+104x^123+198x^126+242x^129+214x^132+162x^134+228x^135+972x^137+176x^138+1944x^140+174x^141+1296x^143+154x^144+148x^147+162x^150+90x^153+104x^156+94x^159+50x^162+26x^165+8x^168+8x^171+4x^174+2x^201 The gray image is a code over GF(3) with n=210, k=8 and d=123. This code was found by Heurico 1.16 in 1.42 seconds.