The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 0 1 1 X+2 1 1 1 X 1 0 1 1 1 0 1 1 1 X+2 1 1 X+2 0 1 1 1 1 1 X+2 1 0 X+2 2 1 1 1 0 1 1 1 1 X+2 1 X+2 X 1 1 1 1 2 X+2 0 0 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 1 0 3 1 X+2 X+1 X+3 1 0 1 X+2 3 3 1 0 X+2 X+1 1 X+1 3 1 1 3 0 X+1 3 X+2 1 0 1 1 1 3 X 3 1 0 X+1 2 X+1 1 0 1 1 X+2 X+2 1 X 1 1 X X X+1 X+1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 2 2 2 2 2 0 0 0 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+63x^56+8x^57+214x^58+56x^59+450x^60+176x^61+716x^62+336x^63+1053x^64+448x^65+1251x^66+448x^67+1012x^68+336x^69+687x^70+176x^71+400x^72+56x^73+169x^74+8x^75+71x^76+26x^78+10x^80+5x^82+10x^84+3x^86+1x^88+1x^90+1x^92 The gray image is a code over GF(2) with n=264, k=13 and d=112. This code was found by Heurico 1.16 in 4.37 seconds.