Prime p₀= 2696959297847097341 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: biodoc
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2696957802447859063	0 18 28 40 60 66 144 166 198 220 298 304 324 336 346 364	-1495399238278
SPT(16)	2696958160566409769	0 8 50 80 84 128 150 204 338 392 414 458 462 492 534 542	-1137280687572
SPT(16)	2696958386512181159	0 18 62 68 98 168 188 198 212 222 242 312 342 348 392 410	-911334916182
STPT(10)	2696958476988449171	0 2 36 38 78 80 120 122 156 158	-820858648170
STPT(10)	2696958712046119151	0 2 36 38 78 80 120 122 156 158	-585800978190
SPT(16)	2696959028472023963	0 6 96 98 120 126 134 140 264 270 278 284 306 308 398 404	-269375073378
STPT(10)	2696959699064192477	0 2 24 26 42 44 60 62 84 86	401217095136
SPT(16)	2696959914358888273	0 28 30 64 88 130 160 184 300 324 354 396 420 454 456 484	616511790932
STPT(10)	2696960021256435029	0 2 18 20 30 32 42 44 60 62	723409337688
SPT(16)	2696960162661222541	0 10 42 52 58 72 90 100 108 118 136 150 156 166 198 208	864814125200
STPT(10)	2696960184368728007	0 2 30 32 72 74 114 116 144 146	886521630666