The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 2 1 2 1 1 1 1 X X 1 1 1 X 1 X+2 1 1 1 0 1 1 1 1 X+2 1 X 2 1 1 1 2 0 1 X+2 1 1 2 1 0 1 1 0 1 2 2 1 1 1 1 X 2 X 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 0 1 1 1 2 X+2 3 X+3 1 1 1 X X+1 1 X 1 X+3 0 0 1 X+1 X+2 3 X 1 2 1 1 X+1 3 2 1 1 X+3 1 2 3 X X 1 X+1 1 1 3 1 1 3 X+1 X+1 3 2 2 0 0 0 X 0 X+2 0 X+2 0 X+2 X+2 X 2 2 X X 0 X+2 0 2 X X 2 0 X 2 X X+2 0 X+2 0 X+2 0 2 2 X 2 0 X+2 X+2 X+2 0 2 X X+2 X+2 0 X+2 2 0 X+2 X X 2 X+2 0 X+2 0 2 X+2 X X 0 X+2 X 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 2 2 2 0 2 0 2 0 0 2 0 2 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 0 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 2 0 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 0 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 2 0 0 0 2 2 generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+105x^56+44x^57+281x^58+224x^59+600x^60+372x^61+709x^62+572x^63+944x^64+636x^65+863x^66+556x^67+752x^68+444x^69+459x^70+180x^71+201x^72+40x^73+99x^74+4x^75+68x^76+15x^78+11x^80+5x^82+4x^84+1x^86+2x^88 The gray image is a code over GF(2) with n=260, k=13 and d=112. This code was found by Heurico 1.16 in 4.22 seconds.