The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+119x^50+480x^52+694x^54+873x^56+934x^58+1026x^60+1040x^62+948x^64+860x^66+572x^68+383x^70+182x^72+59x^74+13x^76+7x^78+1x^84

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 8.99 seconds.