Geodesic
A~distance-regular graph with the intersection array $\{8,7,5;1,1,4\}$ and its automorphisms
Trudy Instituta matematiki i mehaniki, Группы и графы, Tome 13 (2007) no. 1, pp. 44-56

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Possible orders and subgraphs of the fixed points of a distance-regular graph with the intersection array $\{8,7,5;1,1,4\}$ are found. It is shown that such a graph is not vertex-transitive. 
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     title = {A~distance-regular graph with the intersection array $\{8,7,5;1,1,4\}$ and its automorphisms},
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I. N. Belousov; A. A. Makhnev. A~distance-regular graph with the intersection array $\{8,7,5;1,1,4\}$ and its automorphisms. Trudy Instituta matematiki i mehaniki, Группы и графы, Tome 13 (2007) no. 1, pp. 44-56. http://geodesic.mathdoc.fr/item/TIMM_2007_13_1_a2/