The generator matrix

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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+207x^50+588x^52+1163x^54+1380x^56+1699x^58+2053x^60+2193x^62+2075x^64+1772x^66+1476x^68+911x^70+557x^72+225x^74+59x^76+21x^78+2x^80+1x^82+1x^104

The gray image is a code over GF(2) with n=124, k=14 and d=50.
This code was found by Heurico 1.16 in 67 seconds.