The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 X^2 1 1 0 X 1 1 0 1 1 1 0 1 1 1 X 1 1 1 X^2 X^2 1 0 0 X 1 X^2 X X^2 X 0 X 0 0 0 X X^2+X X X^2 0 X^2+X X^2+X X^2 X^2 X X^2+X X^2 X^2+X X 0 X^2+X X^2 X^2+X 0 X^2+X X X^2+X X^2 0 X^2+X 0 0 0 X^2 X^2+X X^2 X^2+X 0 0 X X^2 X X^2+X X^2 X^2 X^2+X X 0 X^2 X X^2 X^2+X X X 0 X^2+X X X X^2 X^2 X^2 0 0 X^2+X X X^2 X^2+X X^2+X 0 X^2 X^2+X X^2+X X X X X 0 X^2+X X X^2 X^2 X X^2+X 0 0 X 0 X X X 0 X^2 0 X^2+X X^2 X X^2+X X^2+X X^2 0 0 X X^2+X X X^2 0 X X^2+X X^2+X X^2 0 0 X^2 X^2+X X^2+X X X X^2 X X^2 0 X^2 X^2+X X^2 X^2+X X^2+X X^2 X^2 0 X^2 X 0 X X^2+X X^2+X X^2 0 X^2+X 0 0 X^2+X X 0 X^2 0 X^2+X X^2+X X^2+X 0 X X X 0 0 X^2+X 0 0 X X^2 0 X X X X^2 X^2+X X^2+X 0 0 0 X X 0 X X^2+X 0 X^2+X X X^2 0 X X^2 X^2+X X 0 X^2 0 X^2+X X^2 X^2+X X^2+X 0 X^2+X X^2+X X^2 X^2+X X^2 X^2+X 0 X 0 X 0 0 0 X X X X X X^2 X X X^2 X X^2+X 0 X^2 0 X X^2+X X X^2+X X^2 X^2 X^2 0 X X^2 X^2 X^2+X X^2+X 0 0 0 X^2+X 0 X^2+X X^2 X X^2 0 0 X X^2 0 X X^2+X X^2+X 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 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 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+189x^76+150x^78+414x^80+292x^82+455x^84+192x^86+170x^88+60x^90+79x^92+10x^94+21x^96+12x^100+2x^104+1x^132 The gray image is a linear code over GF(2) with n=332, k=11 and d=152. This code was found by Heurico 1.16 in 14.3 seconds.