The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 2 1 1 0 0 1 1 0 1 1 1 2 0 1 1 1 1 0 2 1 1 2 1 0 0 1 2 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 2 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 2 2 3 0 1 1 2 0 2 1 2 3 0 1 0 1 0 2 2 2 1 2 2 2 1 2 2 1 1 2 2 3 3 1 1 0 0 3 1 1 1 3 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 2 0 1 3 1 1 0 1 1 2 1 2 3 0 3 1 2 3 3 2 1 0 1 3 0 0 2 0 2 1 0 3 1 0 0 1 3 0 2 3 3 1 2 3 3 1 2 0 3 1 3 2 1 0 0 0 0 1 0 1 1 0 1 1 0 3 2 3 2 1 2 0 1 1 3 0 0 2 0 1 3 3 2 1 1 1 3 2 3 0 1 3 2 3 1 0 0 2 2 0 0 1 2 2 2 3 0 0 1 2 1 0 1 0 3 0 1 0 0 0 0 0 1 1 0 1 1 2 3 3 0 1 3 0 3 1 3 0 2 3 0 1 2 0 1 3 3 3 1 0 3 0 0 1 3 1 0 3 3 1 2 1 1 3 1 3 1 2 2 0 3 0 0 3 3 1 3 1 3 3 1 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 2 0 2 0 0 0 2 0 2 0 2 2 0 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+62x^52+78x^53+164x^54+244x^55+300x^56+316x^57+373x^58+434x^59+464x^60+502x^61+445x^62+494x^63+525x^64+502x^65+449x^66+486x^67+473x^68+420x^69+309x^70+290x^71+272x^72+194x^73+129x^74+96x^75+72x^76+32x^77+49x^78+4x^79+4x^80+4x^81+1x^82+1x^84+1x^86+2x^88 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 9.65 seconds.