The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+82x^54+164x^56+194x^58+162x^60+109x^62+93x^64+63x^66+53x^68+47x^70+33x^72+11x^74+5x^76+6x^78+1x^80

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 0.197 seconds.