The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 0 2 1 1 1 1 2 1 0 1 1 1 1 0 0 0 1 0 0 2 1 1 1 2 0 2 1 0 2 1 2 1 0 2 1 1 1 1 2 1 1 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 1 0 3 2 2 1 1 1 3 0 1 3 0 1 1 2 1 0 0 2 2 0 1 1 1 3 2 1 1 1 1 1 1 0 3 2 0 0 3 0 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 3 2 3 3 3 1 3 3 1 1 2 2 2 2 0 0 2 0 1 0 1 1 2 1 2 1 1 2 3 0 3 0 2 1 3 2 1 1 0 2 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 0 1 2 0 2 1 0 1 2 1 3 1 1 1 1 2 2 3 1 3 3 3 2 2 3 3 1 3 3 0 2 0 2 0 3 1 0 3 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 0 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 0 0 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 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 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 2 2 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 2 2 0 2 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 0 2 0 2 2 generates a code of length 63 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+76x^50+108x^51+249x^52+270x^53+416x^54+504x^55+626x^56+674x^57+761x^58+876x^59+929x^60+1034x^61+985x^62+1136x^63+1079x^64+1132x^65+1058x^66+982x^67+770x^68+730x^69+541x^70+384x^71+327x^72+226x^73+213x^74+96x^75+97x^76+30x^77+40x^78+8x^79+14x^80+4x^82+2x^83+3x^84+1x^86+1x^88+1x^94 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 67.2 seconds.