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 0 X X 0 0 1 0 1 1 X 1 X 1 1 1 1 1 X 1 1 1 0 0 1 1 1 1 2 1 1 1 0 1 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 0 X X+2 0 0 X+2 X+2 2 X+2 X 2 2 X X 0 X+2 X 0 2 0 X 2 0 2 X 0 X X X X+2 X+2 2 2 X+2 X X 0 X 0 X+2 0 0 2 2 0 X X 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X+2 X 0 X 2 X+2 0 2 X 2 X 2 0 X X+2 0 X+2 2 2 X X X 2 0 X+2 X X X+2 X+2 X+2 0 0 0 0 X+2 0 2 2 0 0 0 X X 2 X+2 X+2 2 2 X 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 2 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 0 2 0 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 2 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 2 2 generates a code of length 64 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+40x^55+91x^56+110x^57+208x^58+140x^59+232x^60+292x^61+313x^62+468x^63+429x^64+444x^65+336x^66+274x^67+171x^68+142x^69+112x^70+74x^71+77x^72+28x^73+38x^74+26x^75+20x^76+6x^77+13x^78+2x^79+2x^80+2x^81+2x^82+1x^84+1x^86+1x^102 The gray image is a code over GF(2) with n=256, k=12 and d=110. This code was found by Heurico 1.16 in 4.43 seconds.