The generator matrix

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

generates a code of length 54 over Z4 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+50x^42+150x^43+256x^44+380x^45+484x^46+596x^47+748x^48+814x^49+861x^50+1008x^51+1038x^52+1160x^53+1222x^54+1158x^55+1116x^56+1040x^57+976x^58+794x^59+699x^60+560x^61+444x^62+340x^63+215x^64+130x^65+57x^66+48x^67+22x^68+12x^69+2x^70+2x^71+1x^92

The gray image is a code over GF(2) with n=108, k=14 and d=42.
This code was found by Heurico 1.16 in 54.5 seconds.