The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 0 1 0 1 1 X 1 X 1 1 1 1 1 0 2 1 1 1 X 1 1 X 1 1 1 0 X 1 2 1 1 2 1 1 X+2 1 X+2 1 X 1 X X 1 1 1 2 X 1 1 X 1 1 0 1 1 0 X+3 1 X+1 X+2 1 2 1 3 X X+1 1 X+2 1 1 0 1 X+2 1 3 X+3 X+3 1 0 1 1 2 X+3 2 1 1 2 1 X+1 X+3 X+3 1 1 X 1 0 2 1 1 2 1 X+2 1 0 1 1 0 1 3 X+3 X+2 1 X+2 X+3 X+2 2 0 X+3 0 0 X 0 X+2 0 2 2 X X+2 X+2 2 X+2 X X X+2 0 2 X 2 0 X X+2 0 2 X 0 X+2 X+2 2 2 X+2 2 X X 2 X 0 0 X X+2 2 2 0 X 0 X+2 X 0 X X+2 0 0 0 X 0 2 X 0 X 2 X X+2 X X X+2 0 0 0 X 0 0 0 2 2 2 0 0 2 X X X+2 X X+2 X X+2 X X X X+2 2 X+2 0 X 2 X+2 X+2 2 X 0 X+2 2 X 2 X X+2 0 X 0 0 0 X 2 X+2 0 2 0 2 X+2 0 0 X+2 X X 2 0 X 0 X+2 X 2 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 2 2 2 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 2 2 0 2 2 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+102x^59+170x^60+286x^61+304x^62+340x^63+403x^64+336x^65+386x^66+340x^67+360x^68+318x^69+232x^70+174x^71+120x^72+94x^73+28x^74+22x^75+26x^76+14x^77+8x^78+10x^79+4x^80+6x^81+2x^82+4x^83+4x^84+2x^85 The gray image is a code over GF(2) with n=264, k=12 and d=118. This code was found by Heurico 1.16 in 3.18 seconds.