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 X 0 X 0 X 1 1 1 0 1 X 1 0 X 1 0 1 1 1 1 1 X 1 0 0 1 1 1 1 X X 1 1 1 X X 1 X X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X+2 X+2 0 2 2 X X+2 X X+2 X X+2 0 X+2 X X X+2 X+2 X+2 X X+2 X X 0 X+2 0 X X+2 X+2 0 X X 0 0 X+2 0 X+2 X+2 2 X+2 X 2 X 0 X+2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 2 2 0 0 0 2 0 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 0 2 0 2 0 2 2 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 2 2 2 0 2 2 2 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 0 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 2 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 2 0 0 2 2 0 2 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 2 2 2 2 0 generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+76x^52+30x^53+80x^54+54x^55+192x^56+136x^57+271x^58+332x^59+441x^60+612x^61+661x^62+900x^63+757x^64+888x^65+601x^66+592x^67+413x^68+302x^69+279x^70+150x^71+116x^72+80x^73+91x^74+20x^75+43x^76+51x^78+6x^80+11x^82+3x^84+1x^86+2x^90 The gray image is a code over GF(2) with n=256, k=13 and d=104. This code was found by Heurico 1.16 in 6.42 seconds.