The generator matrix 1 0 0 0 1 1 1 1 X^2+X 1 1 1 X^2+X X X^2 X^2+X X X 1 1 X^2+X 1 1 1 1 0 0 1 X^2 1 X 1 1 X X^2+X 1 1 0 1 1 1 X^2+X 1 X^2+X 1 1 1 0 1 1 1 1 X^2+X X^2+X 1 1 X X^2 1 1 0 X^2 X X^2 1 1 1 X^2 0 X^2 1 1 1 X^2 X X X^2 X X^2+X X^2+X 1 X^2 1 X^2 1 0 1 0 0 0 X^2 1 X^2+1 1 X^2 X^2+X+1 X+1 1 1 0 1 X^2 X 1 1 1 X^2+X X^2 X^2 X^2+X+1 1 1 X 0 X^2+X 0 1 X^2+1 1 X X^2+X X^2+X+1 X^2+X 0 X+1 X 1 X X^2+X X^2+1 1 0 1 X^2+1 X^2+1 X^2+1 X+1 1 1 X X^2+X 0 X 0 0 1 1 0 X^2+X X X X^2 X^2 1 1 1 X^2+X+1 0 1 1 1 X^2 1 1 X^2+X X 1 X^2+1 1 X 0 0 1 0 0 X^2+1 X^2 1 1 X+1 X^2+X+1 X^2 X+1 X 1 1 1 1 0 0 0 X^2 X^2+X+1 0 1 X 1 X+1 X^2 X 1 X+1 X^2+X 1 1 0 X^2 X 1 X^2+X+1 0 X X^2+1 1 X X^2+X 1 X+1 X^2+X X+1 X^2 X X^2+X X+1 1 X+1 X^2+X 1 X^2 X X^2+X X^2+X+1 1 1 X^2 X+1 1 1 X^2+X X^2+X X^2 X+1 X^2+X X^2 X+1 X 1 0 X^2+1 1 X^2+1 X^2+1 X^2 X^2 X 0 0 0 1 1 1 X^2+1 X 1 0 X+1 0 X 1 X+1 X^2+X X^2+X+1 0 X+1 X^2 X^2 X^2 X^2+X+1 X^2+1 X+1 1 X^2+1 0 1 X^2 X+1 X^2+X X+1 X X^2+X+1 1 X^2+X 1 X^2+X+1 0 X+1 X^2+X X^2+X+1 X^2 X^2 X^2+1 X^2+X+1 X^2+1 X^2 1 X^2+1 X^2+X+1 X^2+1 X^2+X+1 X^2 1 1 X^2+X X+1 X^2+X X^2+X X+1 X^2+1 X^2+X X^2+X X^2 X^2 X X^2 X+1 X^2+X X^2 X+1 X^2+X+1 0 X^2+X+1 X X+1 0 X+1 X X^2+X 1 X X^2 0 0 0 0 X 0 0 0 0 X X X X X X X X 0 X^2 X^2+X X^2 0 X^2+X X^2 X^2 0 X X^2 X X 0 X X X^2 0 X^2+X 0 X^2 X^2 0 X X^2+X X^2 X X^2+X X X^2+X 0 X^2 X X^2+X X^2 X^2+X 0 X X^2 X 0 0 0 X X^2 X^2 X^2 X^2+X X^2+X 0 0 X X^2+X 0 X X^2+X X X X^2 X^2 X^2+X X^2 X^2+X 0 0 X X^2 X^2 generates a code of length 85 over Z2[X]/(X^3) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+92x^76+492x^77+521x^78+964x^79+898x^80+1132x^81+1127x^82+1412x^83+1106x^84+1434x^85+1065x^86+1360x^87+878x^88+1082x^89+755x^90+714x^91+398x^92+374x^93+218x^94+172x^95+73x^96+58x^97+22x^98+16x^99+8x^100+4x^101+4x^102+2x^104+2x^107 The gray image is a linear code over GF(2) with n=340, k=14 and d=152. This code was found by Heurico 1.13 in 5.31 seconds.