The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 X+2 1 1 0 1 1 0 1 X+2 1 1 1 1 0 1 1 0 X+2 1 1 1 1 X+2 1 0 1 1 1 X+2 1 1 1 1 1 1 X+2 1 1 1 1 0 1 0 2 X 1 1 0 1 X 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+2 1 X+1 0 1 3 X+1 1 0 1 X+2 3 0 X+1 1 X+2 3 1 1 0 X+2 X+1 3 1 X+1 1 0 X+1 0 1 X+3 X+2 X+2 X+2 X X+1 1 X X+3 3 X+2 1 0 1 1 1 X+3 X+2 2 X+2 X+2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 2 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 2 2 0 generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+29x^52+121x^54+36x^55+235x^56+112x^57+462x^58+320x^59+900x^60+740x^61+1549x^62+1176x^63+1865x^64+1392x^65+1904x^66+1168x^67+1451x^68+696x^69+826x^70+356x^71+529x^72+128x^73+198x^74+16x^75+78x^76+4x^77+42x^78+24x^80+12x^82+6x^84+5x^86+2x^88+1x^94 The gray image is a code over GF(2) with n=260, k=14 and d=104. This code was found by Heurico 1.16 in 15.1 seconds.