The generator matrix 1 0 0 1 1 1 X 1 1 X+2 1 1 X X+2 X X 1 1 2 1 1 2 1 2 X 1 1 2 2 1 1 1 1 2 1 1 2 1 1 2 1 X+2 X 1 0 0 0 1 1 1 1 X 2 0 1 1 1 0 X+2 X+2 1 X X 1 1 2 1 X+2 X 1 0 1 0 X 1 X+3 1 X+2 0 2 1 X+1 1 1 X 1 1 X+2 1 X+1 0 1 2 0 1 X+3 0 1 1 3 1 X 3 X 3 X 1 3 0 2 2 2 1 X+2 1 1 0 X+2 0 X+1 3 1 X+2 1 3 1 3 1 1 X+2 X X 1 X+1 0 1 3 1 0 0 0 0 1 1 X+3 X+2 1 X+3 X+2 1 1 0 X X+1 1 2 X 0 X+3 X+1 X+3 X+2 1 1 2 1 X+2 1 X X+2 X X 0 1 X+3 1 3 0 0 1 3 1 3 3 2 X+3 1 X+1 X+2 X+2 X X 1 X+1 X+3 2 X+3 0 X+1 1 0 1 X+2 1 X+2 0 X+1 X+3 X+2 0 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 2 2 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 0 0 0 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 0 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+35x^60+138x^61+290x^62+534x^63+576x^64+964x^65+879x^66+1326x^67+1068x^68+1690x^69+1508x^70+1698x^71+1114x^72+1308x^73+903x^74+880x^75+438x^76+442x^77+204x^78+150x^79+83x^80+64x^81+47x^82+18x^83+10x^84+2x^85+6x^86+2x^87+2x^88+3x^90+1x^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 13.9 seconds.