The generator matrix 1 0 0 0 0 1 1 1 X^2+X 1 1 X 0 X^2+X 1 1 1 X^2 X^2 X^2+X X 1 1 X^2 1 1 1 X^2+X X^2 1 1 1 X^2+X 1 1 0 X X^2 0 X^2 1 0 X^2+X 1 1 1 X^2 X^2 X 1 1 1 1 X X^2+X X^2 X^2 0 1 1 1 X^2+X 1 1 1 1 0 1 X^2+X 0 1 0 1 0 0 0 X X^2 X^2+X X X^2 X^2+X X X X^2 X^2 X^2+X X+1 1 1 1 1 X+1 1 1 X^2+X+1 X^2+X+1 X^2+1 1 1 X^2+1 X^2+1 X X 0 X+1 1 1 0 X^2+X X X 0 1 X+1 X+1 0 0 1 1 X^2+1 X^2+X+1 1 X+1 1 1 0 1 X X X^2+1 X^2+X 0 X 1 X^2 X^2+X+1 0 X^2+X 1 0 X^2+X+1 0 0 1 0 0 0 0 0 X^2 X^2+1 X+1 1 1 1 1 1 0 X^2 X^2+1 0 X^2+X+1 X+1 X+1 0 X^2 X^2+1 X 1 1 X+1 X^2 X^2+1 1 X 1 1 X^2+X X^2+X X^2+X 1 X X^2 1 X^2 X^2+X+1 X^2+1 X X^2 0 X^2+X X X+1 X^2+X+1 1 X 1 X+1 X^2 X^2+1 X X+1 1 X^2+1 X^2+X X^2+X X+1 X 1 0 1 X 0 0 0 1 0 0 X^2+1 1 1 0 X^2+1 X^2+X+1 X^2 X+1 1 X X^2+1 X^2 X^2+1 X^2+1 1 1 0 X^2+X+1 X+1 X X^2 X^2 X X^2+X+1 X^2 X^2+X X 1 0 X+1 0 1 0 X^2+X X^2+X+1 1 X X^2+X X X 1 X^2+1 X^2 X X^2+1 X+1 0 1 X^2+X+1 X^2+X+1 X^2+X 1 X^2+X+1 1 0 X X^2+X+1 0 X+1 X^2+X+1 X X^2 X 1 0 0 0 0 0 1 1 1 X X^2+1 X^2+1 1 X 1 X+1 X^2+X X^2 X^2+1 1 X^2 0 1 X^2+1 X^2+1 X^2+X+1 X^2+X 0 X^2+X+1 X X+1 X X^2+X X+1 X^2+X X^2 X X^2+X+1 X^2 X^2+1 1 X^2+1 X^2+1 X^2+X 0 X+1 X^2 X^2+X X^2+X X^2+X+1 1 X 0 0 1 X+1 X X 1 X^2+X X^2+X X^2+X X^2 X^2 0 1 X+1 X^2 1 X X X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+332x^61+716x^62+1244x^63+1892x^64+2690x^65+3018x^66+4238x^67+4604x^68+5326x^69+5620x^70+6040x^71+5675x^72+5574x^73+4713x^74+4266x^75+3177x^76+2492x^77+1536x^78+1160x^79+534x^80+328x^81+192x^82+76x^83+51x^84+22x^85+12x^86+2x^88+4x^89+1x^106 The gray image is a linear code over GF(2) with n=284, k=16 and d=122. This code was found by Heurico 1.13 in 59 seconds.