The following vectors and their cyclic shifts form an capset tilde I2(10,5).
For more information see Extensions of generalized product caps.
(0,0,0,0,0,1,1,1,1,1)
(0,0,0,0,1,0,1,1,1,2)
(0,0,0,0,1,2,0,1,1,2)
(0,0,0,0,1,2,2,0,1,2)
(0,0,0,0,1,2,2,2,0,2)
(0,0,0,1,0,0,1,1,1,2)
(0,0,0,1,0,2,0,1,1,2)
(0,0,0,2,0,1,1,0,2,1)
(0,0,0,1,0,2,2,2,0,1)
(0,0,0,2,1,0,0,1,1,2)
(0,0,0,2,1,0,2,0,1,2)
(0,0,0,1,2,0,1,1,0,2)
(0,0,0,2,1,1,0,0,2,2)
(0,0,0,1,2,2,0,2,0,2)
(0,0,0,1,2,2,1,0,0,2)
(0,0,2,0,0,2,0,1,1,1)
(0,0,1,0,0,2,1,0,1,2)
(0,0,1,0,0,2,1,2,0,1)
(0,0,2,0,2,0,0,2,1,2)
(0,0,2,0,1,0,1,0,1,2)
(0,0,1,0,2,0,1,1,0,2)
(0,0,2,0,2,2,0,0,1,2)
(0,0,2,0,2,1,0,2,0,1)
(0,0,2,1,0,0,2,2,0,2)
(0,0,1,1,0,2,0,2,0,1)
(0,2,0,2,0,2,0,2,0,2)