The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 1 1 2 1 2 2 1 2 0 0 1 0 1 1 0 1 0 2 2 0 0 1 1 0 1 0 1 1 1 1 0 2 0 2 1 1 2 1 1 1 0 1 1 0 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 3 1 1 2 1 2 0 1 3 2 1 0 3 1 1 3 0 3 1 2 1 1 1 0 3 0 0 2 2 2 3 2 2 1 2 1 1 3 1 3 2 0 1 2 3 2 2 0 2 0 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 1 1 3 3 1 1 2 3 1 0 1 1 2 1 0 1 3 3 1 1 3 3 1 0 2 2 1 2 0 1 2 1 1 1 1 3 2 3 0 2 2 1 2 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 2 2 0 1 1 1 3 2 0 3 1 3 0 0 2 1 2 1 0 3 3 3 1 2 1 0 0 1 0 0 2 1 2 0 2 3 1 0 0 2 1 3 3 1 2 0 3 3 1 3 0 0 3 0 0 0 0 0 1 0 1 0 1 3 2 2 1 3 2 2 3 1 3 2 0 2 2 1 3 3 3 1 0 0 0 0 0 1 3 2 2 1 0 1 2 1 1 0 1 0 3 2 3 1 3 1 1 1 3 3 3 0 0 2 1 0 1 0 0 0 0 0 0 1 1 3 2 1 1 3 0 1 3 0 0 0 0 2 3 3 0 1 3 0 1 2 0 0 3 1 2 3 1 3 1 3 1 2 0 1 3 0 2 0 1 2 2 1 3 0 2 0 0 2 2 0 2 0 3 3 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 2 0 0 2 0 0 2 0 0 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 0 0 generates a code of length 64 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+41x^52+62x^53+195x^54+266x^55+299x^56+354x^57+409x^58+386x^59+423x^60+490x^61+439x^62+500x^63+485x^64+500x^65+505x^66+496x^67+405x^68+418x^69+377x^70+302x^71+249x^72+186x^73+156x^74+94x^75+67x^76+38x^77+29x^78+4x^79+14x^80+1x^82+1x^90 The gray image is a code over GF(2) with n=128, k=13 and d=52. This code was found by Heurico 1.10 in 3.56 seconds.