The generator matrix 1 0 1 1 1 X+2 1 1 0 1 X+2 1 1 1 0 1 1 X+2 1 1 0 1 1 X+2 2 1 1 X 1 1 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 1 2 1 X X 0 1 X 1 2 0 2 1 X X 1 1 1 1 2 1 X X 0 1 X+1 X+2 1 1 0 X+1 1 X+2 1 3 X+1 0 1 X+2 3 1 2 X+3 1 X 3 1 1 0 X+1 1 X+2 3 0 X+1 1 X+2 3 1 0 X+1 1 X+2 3 1 2 X+3 1 1 0 2 X 2 0 X+2 1 X X 2 X+2 X+2 X+3 3 X+3 0 X 2 X X+2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 0 0 2 0 0 2 0 2 0 2 0 0 2 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+108x^61+69x^62+166x^63+33x^64+134x^65+64x^66+128x^67+23x^68+112x^69+50x^70+78x^71+6x^72+30x^73+8x^74+12x^75+1x^78+1x^116 The gray image is a code over GF(2) with n=264, k=10 and d=122. This code was found by Heurico 1.16 in 66.9 seconds.