The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  1  2  2  1  1  2  0  2  0  2  1  0  0  1  2  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  0  2  2  2  0  2  0  2  0  2  0  2  2  0  2  2  0  0  0  0  2  0  0  0  2  0  2
 0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  2  0  0  0  2  0  2  0  2  2  2  0  0  2  2  2  0  2  0  0  2
 0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  0  2  2  2  0  2  0  0  2  2  2  2  2  2  2  0  0  2  0  0  2  0  0  2  0  0  2  0  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  2  2  0  0  0  0  0  2  0  0  0  2  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  0  0  2  2  0  0  0  2  2  0  0  0  2  2  0  2  0  2  0  2  0  0  2  0  2  0  0  2  0  2  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  0  2  0  0  2  2  0  2  0  2  0  2  0  2  0  2  2  2  0  2  0  2  2  2  0  2  0  0  2  2  2  2  0  2  2  0
 0  0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  0  0  2  0  2  2  0  0  2  2  2  0  0  2  2  0  2  2  2  0  0  0  2  2  0  0  2  0  0  2  2  2  2  2  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  2  0  0  0  2  2  2  2  0  0  0  2  0  2  0  0  2  2  2  0  2  0  2  0  2  2  0  0  0  2  0  2  2  2  0
 0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  2  0  2  2  0  0  2  2  2  2  2  2  2  0  0  2  0  2  2  2  2  2  2  2  0  2  2  0

generates a code of length 53 over Z4 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+60x^42+116x^44+134x^46+184x^48+273x^50+300x^52+255x^54+245x^56+182x^58+113x^60+84x^62+49x^64+29x^66+14x^68+7x^70+1x^72+1x^76

The gray image is a code over GF(2) with n=106, k=11 and d=42.
This code was found by Heurico 1.16 in 1.82 seconds.