The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 1 1 1 1 1 1 X 0 1 1 0 0 0 X 1 X 0 0 X 1 X 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 X+1 0 X+1 1 X 1 0 X 1 0 X+1 X 1 1 1 X 0 1 1 1 1 1 X 1 X X+1 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X+1 X+1 X 0 X+1 0 X X 0 1 0 1 X+1 X+1 1 0 X+1 0 X 0 0 X 1 X 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 X X+1 0 1 1 1 0 X+1 X+1 0 X 1 X+1 0 1 1 X+1 X X 0 X 1 X X 1 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 1 X+1 X X+1 0 X 1 X+1 X+1 1 0 1 X 1 1 X 0 0 1 0 0 X 1 1 X 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X 0 X 0 0 0 X 0 X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X 0 X X 0 0 X 0 X 0 0 0 0 X 0 0 X X X 0 0 0 0 X generates a code of length 38 over Z2[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+152x^30+455x^32+493x^34+658x^36+608x^38+664x^40+514x^42+341x^44+144x^46+56x^48+9x^50+1x^60 The gray image is a linear code over GF(2) with n=76, k=12 and d=30. This code was found by Heurico 1.16 in 1.1 seconds.