The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+166x^50+445x^52+665x^54+851x^56+982x^58+955x^60+1048x^62+1053x^64+818x^66+603x^68+356x^70+167x^72+58x^74+21x^76+2x^78+1x^102

The gray image is a code over GF(2) with n=122, k=13 and d=50.
This code was found by Heurico 1.16 in 9.15 seconds.