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 X 0 1 1 1 X 0 1 1 1 1 X 1 1 1 1 0 1 X 1 0 1 0 1 1 0 1 1 1 1 1 X 0 1 X X 1 2 1 1 1 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 X 0 2 2 0 0 X+2 X+2 X+2 X X+2 X 2 0 2 X+2 X X X X+2 0 X+2 X+2 0 2 X+2 X X+2 X+2 0 X 2 X 0 X X X X+2 X X X X+2 X 0 0 X+2 2 X 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 0 0 2 2 0 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 0 0 0 0 0 2 2 0 0 2 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 0 2 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 0 2 0 0 2 0 2 2 0 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 0 2 2 2 0 2 0 0 0 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 0 0 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+79x^56+20x^57+88x^58+84x^59+167x^60+122x^61+299x^62+136x^63+548x^64+152x^65+744x^66+144x^67+557x^68+148x^69+288x^70+120x^71+146x^72+68x^73+68x^74+28x^75+26x^76+2x^77+29x^78+9x^80+12x^82+1x^84+7x^86+1x^88+1x^92+1x^102 The gray image is a code over GF(2) with n=264, k=12 and d=112. This code was found by Heurico 1.16 in 1.58 seconds.