The generator matrix 1 0 0 0 1 1 1 1 X^2+2 1 X^2+X 1 1 X X^2+X 1 X^2 X 1 X+2 1 1 2 X^2 2 1 X^2+2 1 1 1 X^2+X+2 X^2+X 1 1 X^2+2 1 1 1 X^2+2 1 1 1 1 X^2+X 1 1 1 1 2 2 2 1 1 1 1 X+2 1 2 X^2+X X^2+2 X^2+X+2 1 1 1 1 X^2+2 X^2+X 2 1 1 1 X^2+X 1 1 0 1 0 0 X X^2+1 3 X^2 1 X+3 1 X^2+X X+1 1 X^2 X+2 1 X^2+X+2 X^2+X+1 X^2 X^2+1 3 1 1 0 X^2+1 1 2 X^2+X X X^2+X 1 X^2+X+1 X^2 X^2 X+3 X+1 3 X^2+X+2 0 X+1 2 X^2 1 X^2+X X^2+3 X^2+1 3 1 1 1 X^2+2 2 3 X^2+X X^2+X X^2 1 1 1 X^2+X X X^2+1 X+3 X^2+X+3 0 X^2 1 X^2 2 X+3 X X^2+X+1 2 0 0 1 0 0 X^2 1 X^2+1 1 X^2+1 X^2+X+1 3 2 X^2 1 X X^2+3 1 X^2+X+2 1 2 X^2+X+3 X^2+X 0 X X^2+X+3 X^2+X+3 1 X^2+X X^2+X+1 1 X^2 X X^2+X+1 1 0 1 X^2+1 X^2+X+2 X^2+2 X^2 X^2+3 X^2+X+3 X+3 X^2+2 X^2+3 X^2+3 X^2+X X^2+X+3 X^2+2 2 2 X^2+1 X^2+X 2 X+2 X+3 1 2 X+1 1 X^2+X X+2 X^2+2 X+1 1 2 X+2 X^2+X+3 X+2 X 1 X+1 0 0 0 0 1 1 X^2+X+1 X^2 X^2+X+3 X^2+X+1 X^2+1 0 X^2+X+2 X^2+X X^2+X+1 X^2+X+1 X+2 X^2+1 3 X+3 X^2+X+2 X^2+2 1 X^2+2 3 1 X^2+2 0 X^2+X+2 X+1 X^2+1 X^2+X+3 2 0 X+1 X 3 X+3 X+2 1 X+2 X+3 0 X^2+1 X^2+X 3 3 2 X^2+2 X^2+X 2 3 X^2+X+3 X^2+3 X+2 2 1 X X^2 1 X^2+X+3 X^2+X+2 X^2+X+2 3 X^2+X+1 X X+2 1 X^2+X+3 3 X^2+3 X X X^2+2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2+2 X^2+2 X^2+2 X^2 2 X^2 X^2 2 0 X^2 2 X^2 X^2+2 2 2 2 X^2+2 0 2 0 0 2 0 0 X^2 0 0 X^2 X^2+2 X^2+2 X^2 2 X^2+2 X^2 2 0 X^2 X^2+2 X^2+2 0 2 X^2+2 X^2 X^2 2 2 X^2+2 X^2+2 X^2 0 X^2+2 2 X^2 0 0 0 2 2 0 0 X^2 generates a code of length 74 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+110x^65+1119x^66+2836x^67+5097x^68+8984x^69+15116x^70+21046x^71+27522x^72+31366x^73+35212x^74+31994x^75+28153x^76+21204x^77+14818x^78+8528x^79+4844x^80+2442x^81+1057x^82+408x^83+126x^84+76x^85+36x^86+18x^87+7x^88+10x^89+2x^91+8x^92+2x^94+2x^96 The gray image is a code over GF(2) with n=592, k=18 and d=260. This code was found by Heurico 1.16 in 694 seconds.