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 1 1 1 1 1 X X X X X 0 1 1 X 1 X X 1 X 1 2 X 2 2 1 X 1 1 1 1 X 2 1 2 1 1 1 0 X 0 0 0 X X+2 X 0 2 2 X X+2 X X 0 0 0 2 X+2 X+2 2 X+2 X X+2 0 0 X+2 X 0 X 2 X 0 X X 0 X+2 X 0 0 2 X 2 X 2 X 2 X X X X X 2 0 2 X+2 0 2 X 2 0 2 X 0 0 0 X 0 X X X+2 0 0 0 X X X 0 2 X+2 X 0 2 2 0 0 X+2 2 X X+2 2 X+2 0 X+2 X X+2 X X X+2 0 0 2 2 2 0 X X 0 0 2 X+2 0 0 X+2 X X+2 X X+2 0 X+2 X+2 X+2 X 2 0 X X+2 X 0 0 0 0 X X 0 X+2 X 2 X 2 0 X 2 X+2 X 2 2 X X+2 2 X 0 X X+2 X+2 0 X+2 0 0 0 X+2 X+2 X+2 0 X+2 X+2 0 0 X+2 X+2 0 X+2 X X+2 0 2 2 X 0 0 X 0 0 2 2 0 2 X+2 2 X+2 2 X 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 0 2 0 2 2 0 0 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 0 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 generates a code of length 65 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+35x^54+64x^55+133x^56+160x^57+264x^58+326x^59+354x^60+420x^61+532x^62+668x^63+761x^64+828x^65+750x^66+694x^67+548x^68+442x^69+329x^70+242x^71+169x^72+170x^73+100x^74+44x^75+66x^76+26x^77+31x^78+10x^79+16x^80+2x^81+6x^82+1x^94 The gray image is a code over GF(2) with n=260, k=13 and d=108. This code was found by Heurico 1.16 in 5.56 seconds.