The generator matrix 1 0 0 1 1 1 X^2+X 1 1 1 1 X^2+X 0 X^2+X X^2+X 1 X^2 1 0 1 1 1 1 0 X^2+X X^2+X 1 1 X^2 1 1 X 1 X^2+X X^2 1 X 1 X^2 1 1 1 X^2 1 1 0 0 1 1 1 1 X^2+X 1 1 1 1 0 X^2 1 X^2 1 X^2+X 0 1 1 X^2+X X^2+X X^2+X 1 1 0 1 0 0 1 1 1 X X+1 X X+1 1 1 0 1 X^2 0 X+1 1 X^2+X+1 X^2 X^2 X+1 1 X^2 1 X^2+X 1 X^2+X X^2 X^2+1 X^2+X 0 1 1 1 1 X^2+X 1 X^2+X+1 1 1 X^2 X^2 0 1 1 X^2 X^2+X+1 X^2+X 0 X^2+X X^2+X+1 X^2+X 0 X^2+X 1 1 1 X^2 X X^2+X X^2 X^2+X X 0 1 1 X^2+X+1 1 0 0 1 1 1 0 1 X^2+1 X^2 0 1 X+1 X^2 1 X^2+X X^2+X 1 1 X^2+1 X X^2+1 X^2 1 X^2+X 1 X^2+1 X^2+X+1 X^2 1 X+1 1 1 X^2+1 X^2 X^2+X+1 X^2+X 1 X+1 X^2+X+1 X^2+1 0 X^2 1 X^2 X^2 X^2+X X^2+X X^2+X X X+1 X^2+1 1 0 X^2+X X^2+X X+1 X+1 X^2+X X^2+X 1 X 1 1 X^2+X X^2+X+1 1 X+1 X X+1 1 0 0 0 X 0 0 X^2 0 X^2+X X^2+X X X X X^2+X X X^2+X X 0 X^2+X X^2 X^2 X^2 X^2+X 0 0 0 0 X X^2 0 X X^2+X X X^2 0 X^2+X X^2 0 X^2+X X^2+X 0 X^2+X X^2+X X 0 X^2 X^2 X^2 X^2+X X^2 X^2 0 0 X X^2+X X^2 0 X^2 0 X 0 X 0 0 X^2+X X^2 X X^2+X X^2+X X 0 0 0 0 X 0 X X^2+X X X X^2 0 X X^2 X^2 X^2 X^2+X X^2 X X 0 X^2+X X X X^2+X X^2 X^2+X X^2 X^2 X^2 X^2 X X^2 X^2 X^2 X X 0 0 X^2+X X^2+X X^2 0 X^2+X X^2+X X^2 X^2+X X 0 X^2+X X^2+X X^2+X X X^2 0 X^2+X X^2 X^2+X X^2+X X^2 0 0 0 X X^2 X X^2 X X^2+X 0 0 0 0 0 0 X X^2 X^2+X 0 X X^2+X X^2+X X^2+X X X^2+X X X^2+X 0 X X X X^2 X^2+X 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X X X X^2 X^2+X X^2+X 0 0 0 X^2+X 0 0 X X X^2 0 X^2+X X^2 X^2+X X X^2 X 0 X X^2 0 X^2+X 0 X^2+X X X^2+X X^2 X^2+X X^2+X X 0 X^2+X X^2+X generates a code of length 70 over Z2[X]/(X^3) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+181x^60+176x^61+778x^62+736x^63+1539x^64+1256x^65+2294x^66+2200x^67+3013x^68+2740x^69+2968x^70+2940x^71+3054x^72+2112x^73+2228x^74+1368x^75+1355x^76+580x^77+634x^78+172x^79+236x^80+48x^81+102x^82+8x^83+27x^84+20x^86+2x^88 The gray image is a linear code over GF(2) with n=280, k=15 and d=120. This code was found by Heurico 1.16 in 50.6 seconds.