The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 1 2 1 1 X 1 1 0 1 1 X+2 1 1 2 1 1 X 1 X 1 X 1 1 2 X 1 1 1 1 0 0 2 X X+2 X 1 1 1 1 1 X 2 X+2 X X 1 X X 0 2 1 0 1 X+1 X+2 1 1 X+1 0 1 X+2 3 1 0 X+1 1 X+2 3 1 2 X+3 1 X 3 1 0 X+1 1 X+2 1 1 2 X+3 1 X 3 1 2 0 X+2 0 X+2 2 1 X+2 X+3 3 1 X+3 X X 1 1 1 X+2 0 2 X 0 X+1 X 1 1 1 1 X+3 X+2 X+2 1 1 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 2 2 0 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 0 2 0 0 0 2 0 2 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 2 2 0 0 0 2 2 2 2 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 2 2 2 0 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+22x^66+106x^67+31x^68+114x^69+24x^70+76x^71+28x^72+52x^73+12x^74+26x^75+2x^76+10x^77+5x^78+1x^80+1x^86+1x^108 The gray image is a code over GF(2) with n=280, k=9 and d=132. This code was found by Heurico 1.16 in 0.167 seconds.