We track all commodity ETFs live here.
Here are the correlations:

(please click to enlarge)
Values near 1.0 and -1.0 indicate high positive or negative correlation (same thing, they are correlated). What investors should look for to achieve diversification iare values near zero.
The most uncorrelated ETFs and ETNs for this period were:
-JJN/AGF
-PWND and GRN (WInd and global carbon! Not really commodities, but interesting ETFs)
-JJT/JJS
-JJC/GRN
-GRN/DBA and DBC
- GRN and JJM
GRN and JJN are quite uncorelated with a good part of ETFs and ETNs.
For your convenience here are the names:

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Please do your own due dilligence.
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