The generator matrix 1 0 0 1 1 1 0 1 1 X^2 1 X 1 0 1 X^2+X 1 X^2+X 1 1 X^2+X 1 1 X^2 X 1 1 X^2+X X^2 X 1 1 1 X^2+X 1 1 1 1 1 0 X^2+X X^2+X 1 1 1 1 1 0 0 1 1 X^2+X X^2 X 0 1 X^2+X X^2 1 X^2 1 1 1 X^2 1 X^2+X 1 X X 1 X 1 X X^2 0 X^2+X 0 1 X X^2 1 0 0 0 1 0 0 1 1 1 X^2 1 1 X^2+1 1 X^2+X X^2+X X+1 1 X X X+1 X^2+X X^2 X 0 1 1 X+1 X+1 1 1 1 X^2+X+1 X^2+X X^2+X 0 X^2+1 X 0 X^2+X X+1 1 X^2+X 1 X^2+X+1 X^2+1 1 0 0 1 X^2 X^2+X 1 1 1 X 1 X^2+1 0 1 X^2+X+1 1 X^2 X^2 X^2+1 X^2+X X^2+1 1 X^2+X 1 1 X^2+1 1 X^2 1 1 1 X 1 1 1 X X+1 1 1 0 0 1 X+1 X^2+X+1 0 X+1 X 1 X^2+1 X X^2+X X+1 1 X 0 X 1 X^2+1 X^2+1 1 X^2 X^2+1 X 1 X^2 X^2+X+1 X^2+X+1 X^2 1 X+1 X^2+1 X^2+X 1 X^2 X^2 X^2+1 X X^2+X 1 1 1 1 X^2+X X^2+1 0 X^2+X+1 X+1 1 X^2+X+1 0 X+1 1 1 X+1 1 1 X^2+X+1 0 X X^2+X X^2 X^2+X 1 X+1 X 0 X+1 X^2+1 X^2+X 1 X^2 X+1 X^2+1 X^2+X+1 1 X^2 X^2+X 1 1 0 X^2+X 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 generates a code of length 83 over Z2[X]/(X^3) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+52x^76+222x^77+344x^78+298x^79+480x^80+356x^81+432x^82+260x^83+328x^84+202x^85+244x^86+188x^87+193x^88+134x^89+109x^90+68x^91+81x^92+32x^93+19x^94+18x^95+13x^96+14x^97+3x^98+3x^100+1x^102+1x^112 The gray image is a linear code over GF(2) with n=332, k=12 and d=152. This code was found by Heurico 1.16 in 1.2 seconds.