The generator matrix 1 0 1 1 0 1 1 a 0 0 2a^2+2 2a generates a code of length 4 over GR(64,4) who´s minimum homogenous weight is 16. Homogenous weight enumerator: w(x)=1x^0+42x^16+1792x^21+168x^24+17920x^28+12544x^29+301x^32 The gray image is a code over GF(8) with n=32, k=5 and d=16. This code was found by Heurico 1.16 in 0.00366 seconds.