The generator matrix 1 0 1 1 1 1 1 1 0 1 a^6*X+1 a a^6*X+a^2 a^3 a^6*X+a^4 a^5 generates a code of length 8 over F8[X]/(X^2) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+448x^49+504x^56+3136x^57+7x^64 The gray image is a linear code over GF(8) with n=64, k=4 and d=49. This code was found by Heurico 1.16 in 0.000318 seconds.