The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 2 1 2 1 1 1 X 1 X 1 1 1 X+2 1 1 1 0 2 1 0 1 0 1 1 1 1 0 X+2 2 1 1 1 X+2 1 1 1 X+2 X 1 1 0 1 X 0 0 1 1 2 X+2 1 X 2 1 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 1 1 1 2 X+3 1 1 X+2 1 X+1 X X+1 1 0 1 X 1 1 X 1 2 1 1 3 2 0 1 1 1 3 1 0 1 X+3 X+1 X 1 X X+2 X+1 1 X 1 1 0 3 X+3 2 1 1 X 1 1 0 0 X 0 X+2 0 X+2 0 X+2 X+2 2 X 2 X X 0 X+2 X+2 2 X 0 2 2 X 0 2 0 X+2 0 0 X X X+2 X+2 2 X+2 2 X 0 X X 0 0 X+2 X+2 X 2 X X+2 X X X+2 0 2 X 0 2 X 2 X+2 0 0 X+2 X+2 2 X 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 2 2 0 2 2 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 0 0 0 2 0 0 2 0 0 2 0 0 2 0 0 0 0 2 0 2 2 generates a code of length 66 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+48x^57+152x^58+252x^59+272x^60+556x^61+415x^62+792x^63+450x^64+976x^65+562x^66+884x^67+442x^68+784x^69+408x^70+516x^71+199x^72+176x^73+84x^74+112x^75+32x^76+20x^77+31x^78+4x^79+5x^80+10x^82+6x^84+2x^86+1x^88 The gray image is a code over GF(2) with n=264, k=13 and d=114. This code was found by Heurico 1.16 in 35.9 seconds.