The generator matrix

1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 0 0 0 1 1 0 2 2 2 1 2 1 1 2 1 1 1 1 0 2 1 1 2 2 0 0 2 2 2 1 0 2 1 0 1 0 0 2 1 1 1 0 0 2 1 0 1
0 1 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 1 1 2 1 0 2 2 1 3 0 1 1 0 0 2 1 2 1 1 2 1 1 2 0 1 0 1 1 0 2 1 3 1 1 2 0 2 0 0 1 0 0 0 0
0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 2 2 3 1 1 3 0 1 1 2 1 1 1 2 3 2 3 0 1 0 1 2 0 1 0 1 2 1 1 2 1 3 1 0 3 3 2 2 1 2 0 3 1 2 0 0 1 0
0 0 0 1 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 1 1 1 1 3 3 1 3 1 1 1 3 0 2 1 3 1 2 3 0 1 2 2 0 0 1 0 2 0 1 1 2 3 1 3 0 1 3 2 2 2 0
0 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 1 3 1 1 1 1 3 0 3 3 1 1 1 2 1 1 3 2 3 0 3 1 0 3 2 2 0 3 1 2 1 1 1 0
0 0 0 0 0 1 0 1 3 2 3 0 1 1 1 2 1 2 3 0 1 1 3 1 0 3 0 1 1 1 3 0 0 3 1 3 3 3 1 2 0 2 3 1 1 1 2 0 0 1 0 2 2 1 0 3 3 1 1 3 3 0 0
0 0 0 0 0 0 1 2 1 3 3 1 0 1 0 1 3 1 2 0 3 2 0 1 3 0 3 3 1 3 3 2 1 1 2 0 2 1 0 1 2 2 3 1 2 3 0 0 0 0 0 0 2 2 2 1 2 3 2 0 3 1 0

generates a code of length 63 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+82x^50+92x^51+243x^52+296x^53+427x^54+524x^55+670x^56+756x^57+782x^58+874x^59+832x^60+964x^61+1087x^62+1106x^63+969x^64+1080x^65+960x^66+922x^67+761x^68+758x^69+663x^70+442x^71+384x^72+202x^73+186x^74+120x^75+100x^76+38x^77+31x^78+16x^79+8x^80+2x^81+5x^82+1x^98

The gray image is a code over GF(2) with n=126, k=14 and d=50.
This code was found by Heurico 1.10 in 13.3 seconds.