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 X 1 1 1 0 X X 2 1 X 1 1 2 0 X X 0 2 1 0 1 1 1 0 X 0 1 1 X 1 1 X 1 1 1 2 1 2 1 0 1 0 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X X+2 0 X 0 X 2 0 X X 0 X+2 X X+2 2 X X X X+2 X X 2 X 0 X X 0 2 0 2 X X X 2 0 0 2 X+2 X 0 0 2 X+2 X+2 X 0 2 X+2 X 0 X 2 0 X+2 X 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 2 0 0 X 0 X X X+2 0 X+2 X+2 X 2 0 X 0 X 0 2 X+2 X+2 X X X+2 X X X X X+2 X X+2 2 2 X+2 X 2 X 2 0 X+2 0 X+2 X+2 2 X+2 0 0 X+2 X 2 0 0 X X 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 2 2 0 0 2 2 0 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 0 2 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 0 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 2 2 2 2 0 2 0 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 0 0 2 2 0 2 2 0 2 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+204x^60+20x^61+308x^62+84x^63+538x^64+152x^65+650x^66+272x^67+933x^68+472x^69+956x^70+504x^71+973x^72+320x^73+596x^74+144x^75+474x^76+52x^77+252x^78+20x^79+140x^80+8x^81+50x^82+49x^84+4x^86+9x^88+4x^92+3x^96 The gray image is a code over GF(2) with n=280, k=13 and d=120. This code was found by Heurico 1.16 in 87.1 seconds.