Prime p₀= 2696959699064192477 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: biodoc
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2696958160566409769	0 8 50 80 84 128 150 204 338 392 414 458 462 492 534 542	-1538497782708
SPT(16)	2696958386512181159	0 18 62 68 98 168 188 198 212 222 242 312 342 348 392 410	-1312552011318
STPT(10)	2696958476988449171	0 2 36 38 78 80 120 122 156 158	-1222075743306
STPT(10)	2696958712046119151	0 2 36 38 78 80 120 122 156 158	-987018073326
SPT(16)	2696959028472023963	0 6 96 98 120 126 134 140 264 270 278 284 306 308 398 404	-670592168514
STPT(10)	2696959297847097341	0 2 36 38 78 80 120 122 156 158	-401217095136
SPT(16)	2696959914358888273	0 28 30 64 88 130 160 184 300 324 354 396 420 454 456 484	215294695796
STPT(10)	2696960021256435029	0 2 18 20 30 32 42 44 60 62	322192242552
SPT(16)	2696960162661222541	0 10 42 52 58 72 90 100 108 118 136 150 156 166 198 208	463597030064
STPT(10)	2696960184368728007	0 2 30 32 72 74 114 116 144 146	485304535530
TPT(14)	2696961084672995267	0 2 24 26 54 56 72 74 84 86 210 212 240 242	1385608802790