The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 1 X+3 1 1 2X 1 1 1 1 1 1 1 1 0 1 2X X+3 1 1 1 1 1 1 1 0 1 1 1 0 6 1 1 1 1 1 1 2X 1 X+3 1 2X 1 1 1 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 X+2 1 X+1 X+3 1 4 2X 2X+8 X+1 8 X+3 2X+8 4 1 X+2 1 1 2X+4 0 X+2 2X X+2 6 2X+8 1 0 X+5 2X+4 1 1 2X+4 2X+8 0 X+3 4 2X+7 1 2X+7 1 2X+5 1 7 X+2 2X X+1 6 X+3 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 6 6 0 3 0 0 6 3 0 6 6 3 6 6 6 6 6 0 6 0 6 6 6 0 3 6 3 0 0 3 6 6 0 0 6 0 3 0 0 6 0 6 3 0 6 0 3 6 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 0 3 0 3 6 6 3 6 3 6 3 3 6 3 6 3 0 6 6 3 3 3 0 0 6 3 3 0 0 0 6 3 6 6 3 3 6 6 0 6 0 6 0 6 0 0 6 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 0 0 3 6 0 6 3 3 0 3 3 0 3 0 6 0 6 6 0 0 6 0 3 6 3 3 0 0 3 3 6 3 3 3 3 0 0 3 6 3 0 3 0 0 0 0 3 6 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 6 3 6 6 3 6 3 3 6 3 0 0 3 3 0 0 0 6 0 3 3 6 0 0 0 6 0 3 6 6 3 3 6 0 6 3 0 3 0 6 6 3 0 3 3 3 3 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+114x^114+270x^115+36x^116+412x^117+1200x^118+630x^119+1178x^120+3450x^121+1980x^122+3080x^123+8154x^124+4500x^125+5378x^126+9894x^127+4230x^128+3828x^129+6078x^130+1746x^131+1024x^132+1296x^133+132x^135+246x^136+56x^138+30x^139+40x^141+32x^144+12x^147+8x^150+10x^153+2x^156+2x^162 The gray image is a code over GF(3) with n=567, k=10 and d=342. This code was found by Heurico 1.16 in 11.6 seconds.