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 X 0 1 1 1 1 X X 1 0 1 1 1 1 0 1 X 1 0 1 1 1 1 1 X 1 X 1 0 1 X 0 X 2 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 X+2 X+2 0 0 X+2 X 2 0 2 2 X+2 X X X X+2 X X+2 X+2 X+2 X 0 X+2 0 X+2 X X X+2 X X X X+2 0 2 X+2 X+2 X X+2 0 X 0 X X X+2 2 X 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 2 0 0 0 2 0 2 0 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 2 0 2 0 0 2 2 2 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 0 2 2 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 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+144x^56+156x^58+444x^60+540x^62+813x^64+740x^66+605x^68+308x^70+218x^72+48x^74+48x^76+22x^80+6x^84+2x^88+1x^100 The gray image is a code over GF(2) with n=260, k=12 and d=112. This code was found by Heurico 1.16 in 94.7 seconds.