The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 1 X+2 1 1 0 1 1 2 1 X 1 1 1 0 1 1 1 X+2 2 1 1 X+2 1 X+2 1 1 1 1 1 1 X+2 1 1 1 1 0 X+2 X 1 X+2 1 1 X+2 2 1 2 X+2 1 X X X+2 1 X 1 1 X+2 X 0 1 1 0 X+3 1 X X+1 1 3 1 X+2 0 X+3 1 X+2 1 1 2 X+1 1 X+2 1 X+1 X+1 0 1 3 0 X 1 1 3 2 1 3 1 3 0 X+2 X+2 X+2 X+3 1 X+1 X+2 2 X+3 1 1 1 X+3 1 X+1 0 1 1 3 2 1 X+3 X X+2 1 0 0 X+1 0 1 2 0 0 X 0 X+2 0 0 X 0 X+2 0 0 X 2 X+2 X 0 X X 2 X+2 X X 2 X 2 0 2 2 0 2 2 0 0 X 0 0 0 X+2 X+2 0 X 0 2 X X X 0 X X X 2 X+2 X 0 2 X+2 2 X X+2 X X+2 X+2 0 X+2 2 X X+2 X+2 X 0 0 0 X 0 0 X X X X X+2 2 X X+2 X+2 X X X 0 0 2 0 2 0 2 X 0 2 0 X+2 2 X+2 2 X+2 0 X 0 0 X X+2 0 2 X X X 2 0 X+2 0 0 X+2 2 2 X+2 0 X+2 0 2 2 X 0 2 X X+2 2 X+2 2 X+2 X+2 2 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 2 0 2 0 0 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 2 2 2 0 0 2 2 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+164x^60+52x^61+412x^62+276x^63+937x^64+556x^65+1234x^66+900x^67+1613x^68+1268x^69+1674x^70+1292x^71+1613x^72+964x^73+1222x^74+524x^75+700x^76+232x^77+362x^78+80x^79+166x^80+80x^82+39x^84+8x^86+11x^88+4x^92 The gray image is a code over GF(2) with n=280, k=14 and d=120. This code was found by Heurico 1.16 in 17.4 seconds.