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 X 0 1 X 0 0 X 1 1 0 1 1 0 1 1 X 1 1 X X X 1 X 2 0 1 1 1 X X 2 2 1 1 1 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 0 X+2 2 0 2 X X+2 X X X+2 0 0 2 2 X 0 0 0 X+2 2 0 2 2 X 0 X X X X+2 X+2 X+2 0 X+2 X X X+2 2 0 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 X+2 X 0 0 0 2 0 X 0 X 0 X+2 X X+2 2 2 0 2 X X X X+2 X+2 X+2 0 2 X 0 X 2 X+2 X+2 X+2 X 0 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 0 2 0 2 2 0 0 2 0 2 2 2 2 2 2 0 2 2 0 0 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 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 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 0 0 0 0 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 0 2 2 2 2 2 0 0 2 2 0 2 0 2 2 2 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 2 2 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 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 0 0 2 2 0 0 0 2 2 0 0 0 0 2 2 0 2 2 0 2 2 0 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 2 0 2 0 2 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 0 2 0 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 2 0 0 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 0 0 generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+42x^52+70x^53+117x^54+126x^55+250x^56+200x^57+540x^58+252x^59+943x^60+242x^61+1230x^62+306x^63+1187x^64+252x^65+903x^66+212x^67+522x^68+182x^69+225x^70+94x^71+95x^72+76x^73+42x^74+32x^75+27x^76+2x^77+12x^78+2x^79+2x^80+3x^82+2x^84+1x^88 The gray image is a code over GF(2) with n=252, k=13 and d=104. This code was found by Heurico 1.16 in 5.49 seconds.