The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 2 1 1 1 X 1 1 0 1 1 X+2 1 1 0 1 1 1 2 0 1 X+2 1 0 2 1 1 1 X 1 1 0 1 1 1 1 1 X 0 1 0 X 1 1 X+2 2 1 1 X+2 1 1 1 1 X 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 X+1 1 0 X+2 3 1 X+2 3 1 2 X+1 1 0 3 1 1 0 X+3 1 1 2 1 X 1 1 3 1 2 1 X X 1 X 3 3 X+2 X+1 1 1 3 1 X 2 2 1 X X X+1 1 0 X+3 X X+2 0 0 0 X 0 X+2 0 0 X 0 X+2 0 0 0 X X X 2 X X+2 2 X+2 X+2 0 X+2 2 2 X X+2 X+2 2 2 X+2 2 X 2 0 X+2 0 0 X+2 X+2 X+2 2 X 2 0 X+2 2 2 0 0 X+2 2 X+2 X+2 X+2 X+2 X X+2 0 X X+2 X 0 X+2 0 0 0 0 X 0 0 X X X X X+2 2 0 2 X+2 X+2 X X 0 0 X+2 2 X 2 2 2 X 2 X+2 X X+2 2 X+2 X X 2 0 2 2 0 2 2 2 2 2 2 X+2 0 0 X X+2 2 2 0 X+2 X X 0 0 2 X+2 X+2 0 2 X+2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 0 0 2 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 2 2 0 0 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 2 2 0 0 0 0 2 2 2 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+166x^56+24x^57+437x^58+212x^59+783x^60+524x^61+1204x^62+960x^63+1653x^64+1376x^65+1795x^66+1320x^67+1685x^68+968x^69+1272x^70+544x^71+657x^72+168x^73+315x^74+36x^75+145x^76+12x^77+84x^78+24x^80+13x^82+3x^84+3x^88 The gray image is a code over GF(2) with n=264, k=14 and d=112. This code was found by Heurico 1.16 in 15 seconds.