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 1 1 1 1 X X 0 0 1 1 1 0 X X 0 1 X 1 2 1 X 1 X X 1 0 1 X X 1 X 2 0 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 2 X X 0 X 2 X X+2 X 0 2 X X 2 0 X 0 0 X+2 2 X+2 X+2 X 2 0 X+2 2 X+2 X+2 2 X+2 0 2 0 2 X+2 X+2 2 X+2 2 X 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 X X+2 X+2 2 2 2 X X+2 X 2 X+2 X X X 2 X+2 2 0 0 X+2 0 2 X+2 0 2 2 X+2 X X+2 2 0 X X 2 2 0 2 0 X 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 2 2 X 0 X 2 0 2 X X+2 X+2 2 0 2 2 0 X 2 X+2 X X+2 0 2 X X+2 2 X 2 X+2 0 0 X X+2 X+2 X+2 0 X X 2 X 2 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 0 0 2 0 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 2 2 generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+66x^53+146x^54+166x^55+249x^56+296x^57+373x^58+474x^59+592x^60+670x^61+717x^62+826x^63+668x^64+640x^65+650x^66+424x^67+309x^68+286x^69+232x^70+126x^71+88x^72+88x^73+45x^74+30x^75+10x^76+2x^77+9x^78+2x^79+1x^80+4x^82+1x^84+1x^88 The gray image is a code over GF(2) with n=252, k=13 and d=106. This code was found by Heurico 1.16 in 21 seconds.