The generator matrix 1 0 1 1 1 1 1 0 1 2a^2+3 a 3a^2+2 2a^2+3a+1 a^2+3a generates a code of length 7 over GR(64,4) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+392x^42+49x^48+896x^49+2744x^50+14x^56 The gray image is a code over GF(8) with n=56, k=4 and d=42. This code was found by Heurico 1.16 in 0.000277 seconds.