The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 0 1 1 1 1 1 1 X X 1 1 X 1 1 1 0 X 2X 0 X+3 2X 0 X+3 2X 6 X+3 2X X+3 2X+6 0 X+3 X+6 6 X+3 2X X 0 X+3 0 X X+6 3 X+3 2X X+6 2X X+3 2X+6 0 0 0 0 6 0 0 0 0 3 6 0 6 3 6 6 0 6 0 0 3 3 0 3 6 3 0 6 3 3 6 6 6 0 6 3 0 0 0 0 6 0 0 0 0 0 6 6 3 6 3 6 6 6 6 6 6 6 6 6 3 6 3 6 3 0 3 6 6 3 0 0 0 0 0 0 3 0 6 3 6 6 0 6 0 3 6 6 0 0 6 3 3 0 6 6 0 0 3 6 6 3 6 6 3 0 0 0 0 0 0 0 6 6 0 3 6 3 6 6 6 0 6 6 3 6 0 6 0 0 6 0 0 6 3 3 0 0 6 0 6 0 generates a code of length 35 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+46x^57+216x^60+36x^61+84x^62+372x^63+252x^64+138x^65+1100x^66+1332x^67+1902x^68+2572x^69+2394x^70+3318x^71+2728x^72+1692x^73+294x^74+538x^75+126x^76+96x^77+322x^78+54x^81+42x^84+22x^87+4x^90+2x^93 The gray image is a code over GF(3) with n=315, k=9 and d=171. This code was found by Heurico 1.16 in 1.03 seconds.