The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+44x^52+58x^53+120x^54+152x^55+124x^56+148x^57+141x^58+132x^59+128x^60+128x^61+88x^62+106x^63+98x^64+100x^65+108x^66+82x^67+86x^68+54x^69+38x^70+38x^71+24x^72+24x^73+15x^74+2x^75+6x^76+2x^78+1x^80

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 0.565 seconds.