The generator matrix 1 0 1 1 1 1 0 1 1 a 3a^2+2 0 0 0 2a^2+2 0 2 2 0 0 0 2 2a^2+2 2a^2+2a generates a code of length 6 over GR(64,4) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+140x^24+448x^28+525x^32+14336x^35+6272x^36+1596x^40+114688x^42+100352x^43+21952x^44+1834x^48 The gray image is a code over GF(8) with n=48, k=6 and d=24. This code was found by Heurico 1.16 in 0.309 seconds.