The generator matrix 1 0 0 1 1 1 2 0 1 1 0 2 1 1 X X 1 2 1 1 1 0 1 0 1 1 2 1 0 X X X+2 0 X+2 X X X X 0 X X X X 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 X+2 X 1 1 1 1 1 0 1 0 0 1 1 1 X 2 3 1 1 2 3 0 X+2 1 1 2 0 3 1 1 1 0 3 1 2 X 2 X X X+2 2 1 1 1 1 X+2 1 1 1 1 X X+2 X+1 X+3 X X+2 X+1 X+3 X X+1 X X+3 2 X X+1 X+2 2 X+2 X+3 X+2 X X+2 0 0 1 1 2 3 1 1 X X+2 X X+3 X+1 X+3 1 1 X 1 3 X+2 1 X+2 X+1 2 X+3 0 X+3 2 1 1 1 1 1 1 0 0 1 3 1 X+1 X+3 X X 0 1 3 X+3 X+2 X+3 0 X X X+3 1 3 1 X+3 X 1 1 2 0 1 2 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 0 2 0 0 0 0 0 2 2 generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+104x^61+62x^62+288x^63+101x^64+164x^65+40x^66+96x^67+8x^68+20x^69+24x^70+64x^71+16x^72+12x^73+20x^77+2x^78+2x^80 The gray image is a code over GF(2) with n=260, k=10 and d=122. This code was found by Heurico 1.11 in 0.133 seconds.