The generator matrix

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

generates a code of length 61 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+36x^54+102x^55+88x^56+88x^57+94x^58+86x^59+68x^60+36x^61+49x^62+58x^63+61x^64+42x^65+50x^66+40x^67+26x^68+18x^69+16x^70+30x^71+10x^72+6x^73+8x^74+2x^75+2x^76+2x^77+3x^78+2x^79

The gray image is a code over GF(2) with n=122, k=10 and d=54.
This code was found by Heurico 1.16 in 0.159 seconds.