The generator matrix

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

generates a code of length 53 over Z4 who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+66x^41+167x^42+256x^43+394x^44+436x^45+539x^46+638x^47+813x^48+888x^49+971x^50+1140x^51+1188x^52+1288x^53+1256x^54+1162x^55+995x^56+958x^57+806x^58+684x^59+563x^60+384x^61+295x^62+198x^63+123x^64+72x^65+55x^66+16x^67+14x^68+4x^69+6x^70+2x^71+3x^72+1x^74+1x^76+1x^80

The gray image is a code over GF(2) with n=106, k=14 and d=41.
This code was found by Heurico 1.16 in 52.2 seconds.