The generator matrix

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

generates a code of length 52 over Z4 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+56x^41+118x^42+164x^43+255x^44+300x^45+388x^46+412x^47+497x^48+494x^49+532x^50+624x^51+560x^52+568x^53+529x^54+560x^55+487x^56+468x^57+353x^58+236x^59+215x^60+140x^61+110x^62+52x^63+30x^64+22x^65+11x^66+2x^68+5x^70+1x^72+1x^74+1x^82

The gray image is a code over GF(2) with n=104, k=13 and d=41.
This code was found by Heurico 1.16 in 7.06 seconds.