The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^40+100x^41+185x^42+232x^43+345x^44+406x^45+442x^46+490x^47+524x^48+530x^49+479x^50+592x^51+566x^52+532x^53+516x^54+508x^55+422x^56+376x^57+289x^58+200x^59+167x^60+102x^61+66x^62+26x^63+29x^64+2x^65+6x^66+2x^68+1x^82

The gray image is a code over GF(2) with n=102, k=13 and d=40.
This code was found by Heurico 1.10 in 2.64 seconds.