The generator matrix 1 0 1 1 1 1 1 1 0 1 1 a 3a^2+2 2a^2+3a+1 3a^2+2a+3 2a^2+3a+1 0 0 2a^2+2 0 2 2 2a^2+2a 2a^2+2a+2 0 0 0 2 2a^2+2 2a^2+2a+2 2a 2 generates a code of length 8 over GR(64,4) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+392x^40+448x^42+588x^48+21504x^49+6272x^50+59080x^56+150528x^57+21952x^58+1379x^64 The gray image is a code over GF(8) with n=64, k=6 and d=40. This code was found by Heurico 1.16 in 0.567 seconds.