The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 X+2 1 1 0 1 1 0 1 1 1 X+2 1 0 1 1 X+2 1 1 0 1 1 1 1 X+2 1 0 1 1 X+2 1 1 1 0 X+2 1 1 0 1 1 X+2 X 1 1 1 1 1 1 1 2 0 0 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 X+2 1 X+1 0 1 3 0 1 X+1 X+2 3 1 0 1 X+1 3 1 X+2 3 1 0 X+1 X+2 X+2 1 X+1 1 X+2 0 1 3 X 0 1 1 X+1 X+1 1 3 3 1 1 2 3 X+3 X+2 3 0 X+1 1 1 X X+2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 0 0 2 0 2 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 2 2 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 0 2 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 0 0 2 2 2 0 2 0 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 2 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 2 2 0 0 2 0 2 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 2 2 2 0 2 2 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+45x^54+12x^55+114x^56+126x^57+184x^58+458x^59+302x^60+1060x^61+454x^62+1880x^63+614x^64+2572x^65+714x^66+2628x^67+646x^68+1944x^69+447x^70+1036x^71+247x^72+422x^73+137x^74+130x^75+84x^76+20x^77+40x^78+29x^80+20x^82+6x^84+6x^86+3x^88+1x^90+2x^92 The gray image is a code over GF(2) with n=264, k=14 and d=108. This code was found by Heurico 1.16 in 16.4 seconds.