The following vectors and their cyclic shifts form an capset tilde I2(11,2).
For more information see Extensions of generalized product caps.
(0,0,1,1,1,1,1,1,1,2,1)
(0,1,0,1,1,1,1,1,2,1,2)
(0,1,2,0,2,2,2,2,2,1,2)
(0,1,2,1,0,2,1,1,2,1,2)
(0,1,2,1,1,0,2,1,2,1,2)