The generator matrix 1 0 1 1 1 0 1 1 X 1 1 X 1 1 0 1 1 0 1 1 1 1 X X 1 1 1 1 1 1 1 0 1 1 0 X+1 1 X X+1 1 X 1 1 0 X+1 1 0 X+1 1 X X 1 1 1 1 0 0 0 X 0 X X 0 0 X 0 X 0 0 X 0 0 X 0 X 0 X X 0 X X X 0 0 X X 0 0 X X X X 0 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 X X 0 X X 0 0 X 0 X X 0 0 X X generates a code of length 31 over Z2[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+14x^30+32x^31+15x^32+2x^46 The gray image is a linear code over GF(2) with n=62, k=6 and d=30. This code was found by Heurico 1.16 in 0.0031 seconds.