The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+229x^40+740x^42+1157x^44+1622x^46+2047x^48+2378x^50+2310x^52+2222x^54+1699x^56+1130x^58+528x^60+212x^62+87x^64+16x^66+4x^68+1x^76+1x^80

The gray image is a code over GF(2) with n=102, k=14 and d=40.
This code was found by Heurico 1.10 in 10.3 seconds.