The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^52+66x^53+126x^54+128x^55+101x^56+170x^57+134x^58+124x^59+147x^60+108x^61+106x^62+114x^63+110x^64+114x^65+83x^66+106x^67+74x^68+40x^69+52x^70+38x^71+25x^72+12x^73+6x^74+2x^75+5x^76+2x^77+4x^78+3x^80+1x^82

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 0.585 seconds.