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 0 2 1 1 1 0 1 2 X 2 1 1 2 X X+2 1 1 1 0 1 1 1 X 1 1 X X+2 1 1 1 0 1 1 1 2 1 X 1 0 1 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 X+3 1 1 0 X X+1 1 2 1 2 1 X+1 X+1 1 0 1 3 1 X+3 1 2 2 X+2 1 X+2 0 1 1 X+3 X+2 3 1 X X+3 2 X X X X+1 1 X+3 3 X+2 X+1 1 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 1 2 1 3 X+2 X+1 X+3 2 X+2 1 1 2 X+3 X+1 1 1 0 2 1 X+2 X+3 0 X+3 X+2 3 3 1 2 X+2 0 X+3 3 0 X+1 3 1 X+2 1 X+3 3 3 X+2 X+2 3 3 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 0 2 2 0 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 2 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 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 2 generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+88x^56+266x^57+423x^58+722x^59+776x^60+1222x^61+1009x^62+1560x^63+1262x^64+1656x^65+1354x^66+1670x^67+1109x^68+1230x^69+672x^70+586x^71+294x^72+212x^73+105x^74+64x^75+50x^76+20x^77+13x^78+6x^79+3x^80+2x^81+4x^82+1x^84+2x^86+2x^90 The gray image is a code over GF(2) with n=260, k=14 and d=112. This code was found by Heurico 1.16 in 12.6 seconds.