The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 X+2 1 1 1 1 0 1 1 0 X+2 X 1 1 1 1 0 2 1 1 1 X+2 1 1 0 X+2 1 1 1 1 1 1 1 X+2 X 1 2 1 1 0 1 1 X+2 1 1 1 1 X 1 X 1 0 1 X+1 X+2 1 1 0 X+1 1 X+2 3 1 0 X+1 1 1 X+2 3 3 X+2 1 X+1 0 1 1 1 X+1 0 X+2 3 1 1 X+1 X+3 0 1 0 X 1 1 X+2 3 X+1 X+3 X+2 X 3 1 1 3 1 3 X+2 X 2 X 1 X+2 X+3 2 X+3 1 X+2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 2 0 2 2 0 2 0 2 2 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 2 2 0 0 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 0 2 0 0 2 2 0 2 2 2 0 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 0 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+78x^56+10x^57+98x^58+130x^59+233x^60+256x^61+345x^62+380x^63+358x^64+352x^65+358x^66+336x^67+316x^68+348x^69+186x^70+164x^71+30x^72+54x^73+27x^74+14x^75+3x^76+4x^77+3x^78+5x^80+2x^82+2x^86+3x^90 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 1 seconds.