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 X 1 X 1 1 1 1 X 1 X 1 1 1 1 1 1 1 1 0 6 0 0 0 0 0 0 0 0 0 0 0 0 6 3 3 6 3 6 3 0 6 0 3 3 6 3 3 3 0 3 6 6 6 0 0 6 0 6 3 3 0 3 3 3 6 3 6 3 3 0 3 0 0 6 0 6 6 6 6 0 6 6 6 0 6 3 0 0 0 0 0 6 0 0 0 0 0 0 0 0 6 3 3 3 3 0 6 6 3 3 6 6 3 6 0 0 6 0 3 6 6 6 0 0 0 3 3 3 0 3 3 6 6 3 6 0 3 6 6 3 6 6 6 6 6 6 6 6 6 0 6 0 6 0 3 3 0 3 6 0 0 0 0 6 0 0 0 0 6 3 3 3 0 0 6 0 6 3 3 0 3 6 3 6 3 6 6 6 0 6 6 0 3 6 6 3 0 0 6 6 6 6 0 6 3 0 0 3 6 6 0 3 3 3 3 0 6 3 0 0 3 6 3 6 3 0 3 0 6 0 0 0 0 0 0 6 0 0 6 3 0 3 0 0 3 3 6 6 6 0 6 6 3 6 3 3 0 6 6 6 3 3 3 0 0 0 3 3 6 3 3 0 0 0 3 3 0 0 0 6 6 3 3 3 3 3 3 0 3 0 3 0 0 6 3 6 3 3 3 3 3 0 0 0 0 0 0 6 0 3 3 6 0 3 3 3 3 3 3 0 0 6 0 3 3 3 6 3 0 3 6 6 6 0 0 0 0 0 0 6 0 3 6 0 3 0 0 6 3 6 3 3 3 0 0 6 3 3 6 0 0 6 0 3 6 6 0 0 6 3 6 6 0 0 0 0 0 0 0 6 3 3 3 3 3 3 6 6 6 0 3 6 3 3 3 3 0 6 3 6 6 6 3 3 6 6 3 6 6 3 6 6 3 3 0 3 0 6 0 6 6 0 3 6 6 0 6 3 6 3 6 3 3 6 6 3 3 6 6 3 3 3 3 6 generates a code of length 71 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 123. Homogenous weight enumerator: w(x)=1x^0+58x^123+158x^126+156x^129+254x^132+54x^134+182x^135+432x^137+232x^138+1296x^140+174x^141+13122x^142+1728x^143+176x^144+864x^146+128x^147+162x^150+148x^153+124x^156+78x^159+54x^162+54x^165+26x^168+10x^171+6x^174+4x^177+2x^201 The gray image is a code over GF(3) with n=639, k=9 and d=369. This code was found by Heurico 1.16 in 3.88 seconds.