An extension of the Apéry number supercongruence

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Some q-Supercongruences from Transformation Formulas for Basic Hypergeometric Series (2018, methodology): “For example, using the fact that the Calabi-Yau threefold in question is modular, which was proved by Ahlgren and Ono [4], Kilbourn [24] succeeded in proving Van Hamme’s (M.2) supercongruence: (p−1)/2 ∑ k=0 (1 2 )4k k!”
Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions (2015, unknown): “[21] Timothy Kilbourn.”
A p-ADIC SUPERCONGRUENCE CONJECTURE OF VAN HAMME (2008, background): “For proofs of some of these congruences, see [M1], [M2], [M3], and [ K ], where again the theory of finite field analogs of classical hypergeometric series plays a large role.”
On the (K.2) supercongruence of Van Hamme (2015, unknown): “For example, Van Hamme [13] himself used properties of certain orthogonal polynomials to prove cases (C.2), (H.2) and (I.2).”
A p-adic analogue of a formula of Ramanujan (2007, methodology): “We now use an argument similar to that in Section 4 of [14].”
On the supercongruence conjectures of van Hamme (2015, unknown): “Kilbourn [10] proved (M.”
A q-microscope for supercongruences (2018, methodology): “Development of methods [7, 20–22, 24, 25, 27, 31, 32, 34] for establishing Ramanujan-type supercongruences like (2) and (3), sometimes modulo a smaller power of p and normally on a case-by-case study, was mainly hypergeometric.”