The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 1 a^2*X 1 0 1 a^6*X+1 a a^6*X+a^2 a^3 a^6*X+a^4 a^5 a^6*X+a^6 X a^5*X+1 X+a a^5*X+a^2 X+a^3 a^5*X+a^4 X+a^5 a^5*X+a^6 1 a*X a^4*X+1 a*X+a a^4*X+a^2 a*X+a^3 a^4*X+a^4 a*X+a^5 a^4*X+a^6 1 a^2*X a^3*X+1 a^2*X+a a^3*X+a^2 a^2*X+a^3 a^3*X+a^4 a^2*X+a^5 a^3*X+a^6 1 a^3*X generates a code of length 37 over F8[X]/(X^2) who´s minimum homogenous weight is 255. Homogenous weight enumerator: w(x)=1x^0+1792x^255+287x^256+1792x^263+224x^264 The gray image is a linear code over GF(8) with n=296, k=4 and d=255. This code was found by Heurico 1.16 in 0.00628 seconds.