The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 X 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 X X 1 1 1 1 X 0 0 1 0 X 0 1 1 X 0 1 X 1 1 X 0 0 X 1 0 1 0 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X 1 X+1 X X 1 1 X 0 X 0 X+1 X+1 X+1 1 X+1 0 0 0 X 0 0 X X 1 0 X 1 1 X 1 X+1 1 1 0 1 0 0 1 0 X 1 X 1 X 0 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X+1 X 0 0 1 X X+1 1 1 0 1 X 1 1 1 1 0 0 0 X+1 1 X+1 X X 1 X+1 X X 1 1 0 X+1 X 0 X+1 X X 0 X X 0 1 0 X 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X+1 X 1 0 0 1 0 X X+1 X X+1 X X+1 0 X 1 1 1 1 X X+1 X+1 1 1 X+1 X X X+1 X+1 X+1 1 0 X X+1 0 1 X 1 1 1 0 1 0 0 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 X X 0 0 X 0 0 X X X X X 0 X 0 X 0 X 0 X X X X X X X 0 X 0 X X 0 0 X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X X 0 0 0 X 0 X X X 0 0 X X 0 0 0 0 X X 0 X X 0 0 X X 0 X 0 X X 0 X X 0 X X 0 X X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 X 0 0 0 X X 0 0 0 X X 0 0 X X X 0 X X 0 X 0 X 0 X X X X 0 0 X X X 0 0 0 X X 0 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X X X X X 0 X 0 0 X X X X 0 0 0 X X X X X 0 0 0 X 0 X X X X X X X X X X X 0 X 0 0 0 X X X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X 0 0 X X X X 0 0 X 0 0 0 0 X X 0 0 X 0 X X 0 0 X X 0 X X 0 X X X 0 0 X 0 X X 0 0 X 0 generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+116x^62+424x^64+570x^66+795x^68+853x^70+881x^72+1021x^74+852x^76+886x^78+741x^80+479x^82+307x^84+134x^86+87x^88+32x^90+6x^92+2x^94+2x^96+1x^98+1x^102+1x^106 The gray image is a linear code over GF(2) with n=148, k=13 and d=62. This code was found by Heurico 1.16 in 12 seconds.