The generator matrix 1 0 1 1 1 X+2 1 1 2 1 X 1 1 2 1 2 1 1 1 X+2 1 X 1 1 1 X X 1 2 1 1 1 1 1 1 1 2 1 1 X 1 1 X+2 1 1 1 1 2 0 1 1 1 2 1 X 1 X+2 1 1 1 X 1 2 X X+2 X+2 1 1 X+2 0 0 1 1 X+2 X+3 1 0 X+1 1 X 1 3 0 1 1 1 2 X+1 X 1 3 1 3 X X+1 1 1 0 1 X+1 X+1 X 3 X+2 0 X+1 1 X+2 3 1 0 1 1 0 2 0 X+1 1 1 1 X+3 2 1 X X+2 X+1 1 2 2 X 1 X+3 2 1 1 1 X+3 2 1 1 0 0 X 0 X+2 0 X+2 0 X+2 X+2 X 2 2 X X 0 X+2 0 2 0 2 X+2 X+2 X+2 X+2 X 0 2 2 2 X X 0 X+2 0 2 X+2 0 0 0 2 X X+2 0 0 X+2 2 X+2 0 X X+2 0 2 0 X X 2 X+2 X X X+2 X X 2 2 X+2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 0 2 2 0 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 2 2 0 2 0 0 0 0 2 2 0 0 2 0 0 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 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 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 0 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 2 0 0 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 0 2 0 2 2 0 generates a code of length 70 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+68x^61+143x^62+288x^63+222x^64+526x^65+405x^66+752x^67+508x^68+936x^69+619x^70+938x^71+456x^72+756x^73+384x^74+520x^75+172x^76+244x^77+78x^78+52x^79+32x^80+30x^81+25x^82+8x^83+8x^84+7x^86+2x^87+8x^88+2x^90+1x^94+1x^96 The gray image is a code over GF(2) with n=280, k=13 and d=122. This code was found by Heurico 1.16 in 38 seconds.