The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 1 2 0 2 1 1 0 0 2 0 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 2 0 0 1 0 0 1 1 1 1 0 2 1 2 2 1 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 1 3 1 1 2 0 3 1 0 1 1 3 0 0 2 2 3 0 0 1 2 2 2 0 3 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 3 1 2 2 0 0 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 3 0 1 0 1 0 2 0 1 1 3 3 1 1 2 3 1 2 1 2 2 1 3 1 3 1 3 1 2 2 0 3 1 0 2 1 0 3 3 2 2 3 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 2 0 2 2 2 0 0 0 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 0 0 0 0 2 0 0 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 0 2 0 0 0 2 2 0 0 0 2 0 0 2 2 2 0 2 0 2 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 2 0 2 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 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 0 2 0 0 0 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 2 0 2 0 generates a code of length 63 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+41x^50+50x^51+157x^52+114x^53+229x^54+216x^55+287x^56+310x^57+402x^58+500x^59+450x^60+548x^61+483x^62+622x^63+513x^64+588x^65+480x^66+410x^67+376x^68+378x^69+267x^70+212x^71+194x^72+94x^73+110x^74+32x^75+54x^76+16x^77+29x^78+6x^79+10x^80+7x^82+3x^84+3x^88 The gray image is a code over GF(2) with n=126, k=13 and d=50. This code was found by Heurico 1.16 in 10.1 seconds.