The generator matrix

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

generates a code of length 52 over Z4 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+56x^42+82x^43+141x^44+158x^45+215x^46+230x^47+259x^48+304x^49+232x^50+282x^51+263x^52+258x^53+261x^54+282x^55+222x^56+222x^57+188x^58+108x^59+115x^60+72x^61+58x^62+40x^63+22x^64+10x^65+12x^66+1x^68+1x^70+1x^78

The gray image is a code over GF(2) with n=104, k=12 and d=42.
This code was found by Heurico 1.16 in 1.73 seconds.