The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 1 1 2 1 2 1 2 1 1 0 1 0 0 2 2 1 1 1 1 0 1 1 1 0 1 2 1 0 0 1 1 1 2 1 2 2 0 0 2 1 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 0 3 1 2 0 1 1 0 3 3 2 1 1 2 0 2 1 0 1 1 0 1 0 1 2 0 2 3 2 0 2 1 1 3 0 3 2 1 1 0 3 2 2 2 2 1 1 2 0 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 0 3 1 0 1 3 1 1 0 2 0 1 0 2 3 1 0 0 0 0 2 2 0 3 1 1 3 0 2 2 3 3 2 3 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 1 3 3 3 0 3 2 1 3 0 3 0 0 2 3 3 3 1 2 0 3 1 1 3 0 3 2 0 1 2 1 0 3 0 2 0 1 1 2 1 1 1 0 0 2 3 0 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 2 2 2 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 2 0 0 0 2 0 2 0 2 0 0 0 0 2 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 2 0 0 0 2 2 2 0 2 0 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+72x^52+82x^53+168x^54+202x^55+314x^56+356x^57+355x^58+448x^59+412x^60+458x^61+485x^62+522x^63+490x^64+496x^65+487x^66+488x^67+463x^68+454x^69+364x^70+294x^71+224x^72+164x^73+143x^74+88x^75+58x^76+30x^77+37x^78+6x^79+11x^80+8x^81+6x^82+3x^84+2x^86+1x^98 The gray image is a code over GF(2) with n=128, k=13 and d=52. This code was found by Heurico 1.16 in 9.82 seconds.