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 0 X 0 X 1 X X 2 1 1 2 X 2 X 1 1 0 1 1 1 0 X 1 X 1 X 2 0 1 1 0 X 0 0 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X X 0 X+2 X X X 0 X+2 2 2 0 0 2 X X X 0 2 X X X 0 X X X 0 X 2 2 X 2 0 X 0 X X X 0 X 2 X X 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 X+2 X+2 X 2 X+2 X X+2 2 X X X X+2 0 X+2 X X+2 0 2 X+2 X X X+2 2 2 2 X X+2 2 X X X X+2 2 X X 0 2 2 2 X 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 2 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 0 2 0 0 2 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 2 2 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+172x^56+20x^57+266x^58+56x^59+636x^60+140x^61+636x^62+328x^63+982x^64+480x^65+898x^66+472x^67+881x^68+336x^69+716x^70+152x^71+453x^72+44x^73+258x^74+16x^75+151x^76+4x^77+40x^78+37x^80+2x^82+11x^84+3x^88+1x^92 The gray image is a code over GF(2) with n=264, k=13 and d=112. This code was found by Heurico 1.16 in 6.06 seconds.