The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 1 1 1 X 1 1 0 1 1 0 1 X 1 1 2 1 1 1 X 1 X 0 X 1 2 2 0 0 0 1 X 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 0 2 X X+2 2 0 2 X 2 X 0 2 X X+2 0 2 X+2 X 2 X+2 X 0 X+2 0 X X+2 X 0 0 0 X+2 2 X X X+2 0 X X+2 X+2 X 2 0 X 0 X X 2 X+2 0 2 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X X 2 2 2 X 0 2 X+2 0 X+2 0 0 X+2 X 0 2 0 0 2 X+2 2 X+2 2 X+2 X+2 X 0 X+2 X+2 X X+2 X 2 X X+2 0 0 2 X+2 0 X+2 X 2 X+2 X X+2 X+2 X 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 0 0 0 0 0 2 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 0 2 0 2 2 0 0 0 2 2 2 0 0 0 2 2 0 2 0 0 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 0 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+60x^56+74x^57+115x^58+226x^59+127x^60+370x^61+118x^62+548x^63+127x^64+704x^65+105x^66+546x^67+98x^68+302x^69+96x^70+174x^71+72x^72+76x^73+57x^74+36x^75+23x^76+8x^77+15x^78+6x^79+4x^80+2x^81+3x^82+2x^86+1x^94 The gray image is a code over GF(2) with n=260, k=12 and d=112. This code was found by Heurico 1.16 in 1.4 seconds.