The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+57x^50+74x^51+237x^52+354x^53+446x^54+500x^55+528x^56+720x^57+790x^58+884x^59+982x^60+1022x^61+1021x^62+1072x^63+1089x^64+1062x^65+1002x^66+986x^67+785x^68+646x^69+568x^70+444x^71+404x^72+244x^73+179x^74+120x^75+68x^76+42x^77+29x^78+16x^79+2x^80+6x^81+3x^82+1x^90

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 68.1 seconds.