The generator matrix 1 0 0 0 0 0 1 1 1 2 0 1 1 1 0 1 1 1 0 1 0 2 2 1 1 1 2 2 1 1 0 1 1 2 2 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 2 1 1 2 1 2 1 2 2 2 2 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 1 2 1 0 1 1 0 2 1 1 1 0 2 0 2 1 2 0 3 2 1 3 1 3 2 0 0 2 3 2 2 1 1 0 3 2 1 0 1 3 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 3 1 1 1 3 1 1 3 1 2 1 1 2 3 0 1 3 3 3 0 3 3 2 1 1 2 0 2 1 2 3 3 1 2 1 0 1 2 0 3 1 0 2 0 0 0 0 1 0 0 0 1 1 1 1 3 2 0 0 3 1 2 2 1 3 3 0 3 0 3 2 2 0 2 1 1 2 2 2 2 3 1 2 0 1 2 0 0 3 3 0 1 1 2 2 3 3 2 1 1 0 2 2 0 3 1 0 0 0 0 0 1 0 1 1 0 3 1 2 3 0 1 3 0 3 0 2 0 0 3 3 1 2 2 3 0 2 0 0 1 0 1 0 3 2 3 0 1 1 1 2 3 1 1 3 0 2 1 0 1 3 1 3 1 1 1 1 2 3 0 0 0 0 0 0 1 1 0 1 1 2 2 0 3 3 3 3 1 3 0 0 1 0 2 2 2 1 2 1 3 2 0 3 1 2 2 3 3 2 3 2 1 0 3 0 1 1 3 1 0 2 2 2 2 0 0 0 0 1 1 1 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 2 0 0 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 0 0 0 2 2 0 generates a code of length 63 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+75x^50+102x^51+230x^52+330x^53+430x^54+538x^55+644x^56+692x^57+837x^58+894x^59+881x^60+974x^61+967x^62+1060x^63+1030x^64+998x^65+964x^66+986x^67+782x^68+738x^69+614x^70+530x^71+436x^72+212x^73+179x^74+98x^75+83x^76+22x^77+29x^78+16x^79+8x^80+2x^81+1x^82+1x^112 The gray image is a code over GF(2) with n=126, k=14 and d=50. This code was found by Heurico 1.16 in 67.6 seconds.