The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 X 1 1 X 0 0 1 X 1 1 1 1 0 0 X 1 X 1 X X 0 X 1 X X 1 X 1 0 0 1 X 0 1 1 X 1 1 X 0 1 0 0 X 1 X X 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 X+1 1 1 1 1 X 0 X X+1 X+1 X X 1 1 1 1 1 X 0 0 X 1 1 X 1 X+1 1 1 1 0 1 X+1 0 1 X+1 0 1 1 0 1 X 1 X 1 1 X X 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X 1 X+1 0 0 X+1 X+1 X X+1 1 X 1 1 X X 0 0 1 0 1 X+1 1 1 X 0 1 1 X+1 X 0 X+1 X X 0 X+1 1 X X X X+1 1 0 X+1 X+1 X X+1 X+1 0 X X+1 0 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X 0 0 X X+1 X+1 0 1 X+1 X X 0 0 X+1 X 1 X X+1 X+1 0 X X 1 0 X X+1 1 X+1 X+1 X X+1 0 1 X 1 1 X+1 1 1 X 0 0 0 X 1 1 1 0 X 1 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 0 X+1 X+1 X+1 1 X X X 1 X+1 0 X+1 0 X 1 0 X+1 0 X+1 1 X 1 X+1 1 0 1 0 0 0 1 X+1 X 0 1 0 0 X X+1 X 1 X X X+1 X 0 0 X+1 X+1 X+1 1 X+1 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 0 X+1 X 1 X+1 0 1 X X X X 0 0 X+1 1 0 1 1 X 1 1 X+1 0 X+1 1 X 1 0 X+1 X+1 X+1 X+1 X+1 0 X+1 X+1 X+1 0 1 0 0 1 X 0 0 X 1 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 X 0 0 X X X X 0 0 X 0 0 X 0 0 X X X X X X 0 X 0 X 0 0 X 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 X X X X X X 0 0 X X 0 X X X 0 0 X X X 0 0 X 0 X X 0 0 0 X 0 X X X 0 X X 0 X X X 0 X X 0 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+254x^54+694x^56+1130x^58+1478x^60+1722x^62+1853x^64+1991x^66+1962x^68+1823x^70+1555x^72+1044x^74+566x^76+216x^78+80x^80+11x^82+2x^84+1x^88+1x^118 The gray image is a linear code over GF(2) with n=132, k=14 and d=54. This code was found by Heurico 1.16 in 74 seconds.