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 0 1 X 2 X 1 X 1 1 1 0 X 2 1 2 X X 1 1 X 0 1 X X 2 1 0 1 1 1 0 1 X X 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X+2 0 2 X 2 X 0 X+2 X+2 X X+2 0 2 X 0 0 2 2 X X X 0 2 0 2 X X X+2 X X+2 X 2 X X X 0 0 X X 2 X 2 0 2 X X+2 2 2 2 2 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 0 2 X X X+2 0 0 2 X 0 X X 0 0 X+2 X+2 X 2 X X X 0 X X 0 2 2 2 X X X+2 X 0 X+2 X X X 0 X X+2 X X X X+2 X+2 0 X X X 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 0 2 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 2 generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+69x^54+224x^56+28x^57+422x^58+112x^59+555x^60+248x^61+830x^62+392x^63+1050x^64+464x^65+979x^66+424x^67+790x^68+264x^69+549x^70+88x^71+332x^72+20x^73+176x^74+8x^75+91x^76+40x^78+23x^80+7x^82+4x^84+2x^88 The gray image is a code over GF(2) with n=260, k=13 and d=108. This code was found by Heurico 1.16 in 6 seconds.