The generator matrix 1 0 1 1 1 0 1 1 X 1 X+2 1 1 1 0 1 1 2 1 1 X 1 1 X+2 X+2 1 2 X+2 2 1 1 1 X+2 1 1 0 1 1 1 1 1 X+2 1 X 1 1 1 1 1 2 X 1 X X 1 X 2 1 X X X 0 1 0 1 1 0 X+1 1 X X+3 1 X+2 1 3 0 X+1 1 2 X+3 1 X 3 1 X+2 1 1 1 0 1 1 1 X+1 1 2 1 X 2 1 X+2 3 X+3 X+1 X+2 1 X 1 1 2 0 2 3 1 1 1 0 0 X+3 1 X 0 2 X 1 1 0 0 0 X X+2 0 X+2 X X+2 X 0 2 0 2 0 0 X X X+2 X 0 X 2 X 2 0 0 X X X 0 X X+2 2 X+2 X+2 2 0 0 X 0 X 2 X+2 X X 0 2 X 2 X 0 2 X X+2 0 X+2 X X+2 X X X+2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 2 0 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 0 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 0 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+55x^52+68x^53+172x^54+190x^55+524x^56+424x^57+972x^58+730x^59+1519x^60+1056x^61+1902x^62+1210x^63+1909x^64+1092x^65+1553x^66+744x^67+921x^68+360x^69+433x^70+166x^71+156x^72+68x^73+58x^74+30x^75+33x^76+4x^77+20x^78+2x^79+2x^80+9x^82+1x^86 The gray image is a code over GF(2) with n=252, k=14 and d=104. This code was found by Heurico 1.16 in 14.1 seconds.