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 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 1 1 1 1 1 1 1 X^2 1 1 1 0 1 1 0 0 X 0 X 0 0 X X 0 0 X^2+X X^2+X 0 0 X^2+X X^2+X 0 0 X X^2+X 0 0 X^2+X X 0 X^2 X X^2+X X^2 0 X X^2+X X^2 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 0 X^2+X X X^2 0 X^2+X X^2 X^2+X X^2 X X 0 X^2 0 X^2+X X^2 X^2+X X X^2+X X X^2+X 0 X^2 X^2+X X^2 0 X^2 X^2 X X^2+X X^2 X^2+X X^2 X^2+X X X^2+X 0 X X^2+X X X^2 X X X^2+X X^2 0 0 X X 0 X^2+X X 0 X^2+X 0 X^2+X 0 0 X X^2+X 0 0 X^2+X X 0 0 X X^2+X 0 X^2 X X 0 X X^2 X^2+X X^2 X^2+X X^2 X^2+X 0 X^2 0 X X^2+X X X^2 X X^2 X^2+X X X^2 0 X^2+X X^2 X^2+X X^2 X X X^2 0 X^2+X X^2+X X^2 X^2+X 0 X^2 0 X^2+X X X^2 X^2+X X^2 X^2 0 0 X X 0 0 X^2+X X X X^2+X X^2+X X^2 X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X X X 0 0 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 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 X^2 0 X^2 X^2 X^2 generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 86. Homogenous weight enumerator: w(x)=1x^0+122x^86+54x^88+382x^90+240x^92+150x^94+24x^96+50x^98+1x^176 The gray image is a linear code over GF(2) with n=364, k=10 and d=172. This code was found by Heurico 1.16 in 3.93 seconds.