The generator matrix 1 0 0 1 1 1 1 1 2X 1 X+3 1 1 3 1 1 1 2X 1 1 1 1 X+3 1 1 1 1 1 1 1 X+6 1 1 0 1 0 1 2X+3 2 1 2 1 2X+8 1 X+1 3 1 2X+4 2X+2 X+6 1 X+3 2X+4 2X+6 2X 1 2X+7 X+8 2X+5 X+6 X+3 7 2X+2 X+3 X+6 X 0 0 1 8 2X+4 X+2 1 X+3 X+4 2X+1 2X+2 2X+6 2X+2 2X+3 2X+2 2X+1 X 2 7 X+6 X+8 2X+7 4 7 X+7 2X+3 X+2 2X+5 X+2 X+4 1 X+5 X+8 0 0 0 2X 2X+3 2X 3 0 2X+6 X+6 2X+6 6 X+3 X+6 3 3 2X+3 X+3 X X+3 6 0 X+3 2X 2X+3 X X+3 2X+6 2X+3 6 2X 3 6 generates a code of length 33 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+216x^57+570x^58+2130x^59+2710x^60+4524x^61+9240x^62+11110x^63+16512x^64+24354x^65+24440x^66+26844x^67+26256x^68+14372x^69+7440x^70+4404x^71+1204x^72+426x^73+162x^74+124x^75+54x^76+36x^77+12x^78+6x^79 The gray image is a code over GF(3) with n=297, k=11 and d=171. This code was found by Heurico 1.16 in 26.7 seconds.