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 0 X 1 0 1 X 1 X 2 1 1 1 1 1 1 1 X 1 0 2 X 1 0 1 1 1 X 1 X 1 1 0 X 2 0 2 0 0 1 0 1 1 0 X 0 X 0 0 X X+2 0 2 X+2 X 0 X X 2 2 X+2 0 X X+2 0 X 2 X X 2 X+2 X X+2 0 X 2 2 0 0 X 0 X 2 2 X 2 2 X+2 X+2 0 X X X+2 2 X X+2 X 0 X X+2 X+2 X X X+2 X X 0 2 0 0 X 0 0 0 0 X X 0 X+2 X 0 2 X 0 X 0 X+2 2 X X 2 0 X+2 X+2 X 2 0 2 X X X+2 0 2 2 0 0 X 2 X+2 X X+2 0 X+2 X+2 X 0 2 0 X+2 X X+2 X 0 X 2 0 X+2 X+2 0 X X+2 2 2 0 X 2 X X X X 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 2 2 0 2 2 2 2 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 2 2 2 0 2 0 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 0 0 0 2 2 0 0 0 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+42x^60+26x^61+104x^62+148x^63+187x^64+238x^65+229x^66+292x^67+319x^68+344x^69+350x^70+364x^71+308x^72+292x^73+216x^74+148x^75+116x^76+90x^77+80x^78+64x^79+40x^80+30x^81+30x^82+8x^83+11x^84+4x^85+10x^86+4x^90+1x^98 The gray image is a code over GF(2) with n=280, k=12 and d=120. This code was found by Heurico 1.16 in 1.55 seconds.