The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+55x^50+208x^52+380x^54+442x^56+483x^58+510x^60+511x^62+508x^64+408x^66+290x^68+163x^70+64x^72+35x^74+22x^76+9x^78+1x^80+3x^82+2x^84+1x^86

The gray image is a code over GF(2) with n=122, k=12 and d=50.
This code was found by Heurico 1.16 in 2.41 seconds.