The generator matrix 1 0 0 1 1 1 0 1 X X^2 1 1 X 1 X^2+X X^2 X^2+X 1 1 1 1 X 1 1 0 1 X^2+X X^2+X 1 1 1 1 X X^2 1 1 1 0 1 1 1 0 1 1 1 X^2 X^2+X X^2 X^2 X^2+X 1 1 1 X^2 X^2 1 1 1 1 1 1 1 X 1 1 0 1 X^2+X 1 1 1 1 1 X^2 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 X 1 X^2+X 1 X^2+X 1 X+1 X^2 1 1 X^2+1 X^2 X^2+X+1 X 1 0 X+1 1 X 1 X^2+X X+1 X^2+X X^2+1 X 1 X^2+X X^2+1 X 1 1 X^2+1 0 X^2+X+1 1 X^2+X+1 X^2+X X^2 1 1 X^2+X 1 X^2 X^2 X+1 X^2+X+1 X^2 0 X^2+1 X^2+X X^2 X^2+1 1 X+1 X^2 1 X^2 X 1 X^2 0 1 X^2 0 X X+1 1 X^2+1 1 X+1 X^2+1 X^2+1 X 0 X^2+X+1 0 0 1 X+1 X^2+X+1 0 X+1 1 X^2 1 X^2+1 0 1 X 1 X X+1 X X^2+1 X^2+1 X^2+X X X X+1 X+1 1 X^2+X+1 1 0 X+1 X^2 X^2+X X^2+X 1 X+1 0 1 X^2 X X^2 X^2+X+1 1 0 X^2+1 X^2+X 0 X^2 1 X^2+1 1 1 0 X 1 1 0 X+1 X^2+1 X X^2+X 1 X^2+X X^2 X^2+X 0 X^2 X^2+X+1 1 X^2 X+1 X^2+X+1 1 1 X^2+1 X^2 X^2+X+1 X+1 X^2+X+1 X^2+X X X^2+X+1 X^2+X 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 generates a code of length 82 over Z2[X]/(X^3) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+363x^76+800x^78+860x^80+600x^82+533x^84+308x^86+300x^88+192x^90+94x^92+20x^94+23x^96+1x^100+1x^108 The gray image is a linear code over GF(2) with n=328, k=12 and d=152. This code was found by Heurico 1.16 in 85.5 seconds.