Prime p₀= 2323308376945495787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2323307207839078169	0 2 42 44 60 62 78 80 120 122	-1169106417618
STPT(10)	2323307365042083377	0 2 42 44 72 74 102 104 144 146	-1011903412410
STPT(10)	2323307598115114529	0 2 42 44 120 122 198 200 240 242	-778830381258
SPT(16)	2323307754039311581	0 48 72 100 138 156 166 178 240 252 262 280 318 346 370 418	-622906184206
SPT(16)	2323308152682109231	0 22 52 60 70 72 112 126 136 150 190 192 202 210 240 262	-224263386556
SPT(16)	2323308300042382651	0 10 12 60 82 118 150 162 388 400 432 468 490 538 540 550	-76903113136
TPT(14)	2323308407243561369	0 2 102 104 162 164 168 170 228 230 258 260 288 290	30298065582
SPT(16)	2323308658772287387	0 40 64 70 90 94 120 196 354 430 456 460 480 486 510 550	281826791600
SPT(16)	2323309057377274969	0 18 22 34 70 78 88 160 162 234 244 252 288 300 304 322	680431779182
STPT(10)	2323309267147008599	0 2 18 20 30 32 42 44 60 62	890201512812
TPT(14)	2323309781040461921	0 2 30 32 36 38 66 68 78 80 120 122 180 182	1404094966134