The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+120x^52+128x^54+332x^56+200x^58+289x^60+216x^62+294x^64+184x^66+164x^68+40x^70+42x^72+33x^76+3x^80+2x^84

The gray image is a code over GF(2) with n=122, k=11 and d=52.
This code was found by Heurico 1.16 in 0.694 seconds.