The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 0 1 2 1 1 2 0 1 0 1 1 1 0 1 2 2 1 1 2 1 0 1 0 0 1 1 1 1 2 1 1 0 1 1 2 1 1 2 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 2 3 1 0 2 1 0 1 0 3 3 2 1 1 2 1 3 2 1 0 1 2 1 1 0 3 3 3 1 3 3 0 3 1 1 0 3 2 0 0 1 2 1 0 2 0 0 3 2 1 3 0 0 1 1 1 0 1 0 1 1 0 2 3 1 0 2 0 1 3 1 1 1 3 0 1 0 1 1 2 3 3 1 0 3 2 2 1 2 1 0 3 0 0 0 1 1 0 1 3 1 1 3 2 2 3 2 3 2 3 1 3 1 3 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 2 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 0 2 0 0 2 2 0 0 2 2 2 2 0 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 0 2 2 0 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 2 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 2 0 0 0 2 0 0 0 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 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 0 2 2 2 2 2 0 2 0 0 2 0 2 2 0 2 2 0 0 2 generates a code of length 64 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+76x^50+48x^51+171x^52+160x^53+315x^54+352x^55+492x^56+548x^57+647x^58+768x^59+866x^60+1040x^61+980x^62+1186x^63+1048x^64+1160x^65+1104x^66+1018x^67+885x^68+832x^69+589x^70+564x^71+457x^72+308x^73+287x^74+148x^75+136x^76+48x^77+82x^78+10x^79+33x^80+14x^82+2x^83+6x^84+2x^86+1x^104 The gray image is a code over GF(2) with n=128, k=14 and d=50. This code was found by Heurico 1.16 in 39.3 seconds.