The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 0 1 1 1 1 0 1 2 1 1 0 2 1 1 1 1 1 1 1 1 0 0 1 2 1 1 2 1 1 0 0 1 1 1 1 2 2 2 1 1 1 0 1 0 1 0 1 2 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 0 3 1 0 1 3 2 1 1 3 0 0 3 3 0 2 1 1 1 0 1 3 3 1 3 3 1 1 0 2 0 0 1 1 1 0 3 0 1 2 2 3 1 3 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 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 0 2 2 0 0 0 2 0 2 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 2 0 0 2 2 0 0 2 2 2 0 2 0 0 2 0 0 2 0 2 2 0 2 2 0 generates a code of length 64 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+57x^50+6x^51+122x^52+46x^53+187x^54+126x^55+254x^56+246x^57+317x^58+418x^59+419x^60+564x^61+483x^62+646x^63+468x^64+652x^65+449x^66+538x^67+428x^68+406x^69+327x^70+282x^71+238x^72+126x^73+155x^74+30x^75+80x^76+8x^77+53x^78+2x^79+30x^80+14x^82+6x^84+6x^86+1x^92+1x^96 The gray image is a code over GF(2) with n=128, k=13 and d=50. This code was found by Heurico 1.16 in 11.9 seconds.