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 X 1 1 X 1 1 1 1 1 X 1 1 X X 1 X 6 1 1 0 6 0 0 0 0 0 0 0 0 6 3 3 6 6 6 0 3 6 3 6 0 6 0 3 6 0 3 6 3 3 3 6 6 0 6 3 0 3 0 0 6 3 6 0 6 3 0 6 0 6 6 3 0 0 3 6 0 6 6 6 6 3 0 0 6 0 0 0 0 6 3 3 3 0 0 3 6 3 6 0 6 6 0 3 3 0 6 6 3 0 6 0 3 3 3 6 0 3 3 6 3 6 3 3 3 3 6 3 3 0 6 0 0 3 6 6 6 6 0 6 0 6 6 0 6 0 0 0 6 0 0 6 3 0 3 0 0 3 6 6 3 0 6 0 3 0 3 3 0 3 0 6 3 3 6 6 6 3 0 3 0 3 0 6 3 6 3 3 6 3 0 3 0 6 3 3 6 6 6 6 0 6 6 6 0 6 6 0 0 0 0 0 6 0 3 3 6 0 3 3 3 0 3 3 0 3 6 0 3 3 0 6 3 0 3 6 0 6 0 6 0 3 3 0 0 3 3 6 0 6 3 6 3 6 6 0 0 6 3 3 3 6 0 6 3 3 3 3 3 6 3 0 0 0 0 0 6 3 3 3 3 3 3 6 3 6 6 3 6 3 3 3 3 0 3 0 6 0 0 3 6 3 0 3 6 6 0 6 0 0 6 0 6 3 6 6 0 6 6 3 3 0 6 3 0 3 6 3 6 3 6 6 3 0 generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+66x^114+6x^115+128x^117+60x^118+120x^120+204x^121+84x^123+1812x^124+64x^126+3342x^127+52x^129+336x^130+48x^132+72x^133+40x^135+44x^138+24x^141+24x^144+10x^147+8x^150+4x^153+6x^156+2x^159+2x^165+2x^168 The gray image is a code over GF(3) with n=567, k=8 and d=342. This code was found by Heurico 1.16 in 0.438 seconds.