The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X 1 1 2 1 1 X 0 X 1 1 2 1 1 1 X 1 0 1 1 2 1 1 1 1 X+2 X 1 2 1 1 1 0 1 0 1 1 2 0 2 1 1 1 X X 1 1 1 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 1 X 1 1 X+2 1 0 3 1 X 1 X+1 2 1 0 3 X X X 1 X+1 0 1 3 X X+3 X+1 0 1 2 2 X+2 X+3 X 1 1 1 1 X+2 1 1 X+2 1 1 2 1 1 3 2 X+1 X 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 X X+1 1 2 X 0 X+3 X+3 X+1 2 1 3 X+3 1 1 3 0 X 1 X+2 1 0 X 0 3 X+2 3 X+1 1 X X+3 1 1 1 X+2 0 2 X+2 X X+1 X+3 0 1 X 0 0 X+2 X+3 1 0 X+2 1 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 2 0 2 0 generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+106x^55+222x^56+520x^57+420x^58+1018x^59+883x^60+1556x^61+994x^62+1982x^63+1191x^64+1910x^65+998x^66+1556x^67+818x^68+964x^69+344x^70+422x^71+183x^72+160x^73+44x^74+34x^75+27x^76+8x^77+6x^78+2x^79+2x^80+2x^81+10x^82+1x^88 The gray image is a code over GF(2) with n=256, k=14 and d=110. This code was found by Heurico 1.16 in 25.7 seconds.