The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 0 1 1 1 X+2 1 1 1 0 1 X+2 1 1 1 0 2 1 1 1 1 1 1 X+2 X 1 0 1 1 X+2 1 1 X+2 1 1 X+2 1 1 1 X+2 1 1 X+2 1 1 X 1 1 X 1 0 1 1 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 1 X+2 X+1 0 1 3 2 3 1 X+2 1 X+1 X X+3 1 1 3 0 X+2 X+1 0 3 1 1 X+2 1 X+2 X+1 1 0 X+2 1 0 X+1 1 3 X+1 3 1 0 X 1 X+2 0 1 2 3 1 X+3 1 0 3 X+1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 0 2 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 0 2 2 2 2 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 0 0 0 2 0 0 2 2 2 0 0 0 2 0 0 2 0 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+138x^56+32x^57+240x^58+144x^59+601x^60+352x^61+668x^62+624x^63+968x^64+768x^65+876x^66+624x^67+746x^68+352x^69+468x^70+144x^71+294x^72+32x^73+52x^74+33x^76+17x^80+12x^84+6x^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 4.26 seconds.