Prime p₀= 2124911191339716347 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2124909783277056911	0 2 50 62 66 78 92 122 126 156 170 182 186 198 246 248	-1408062659436
SPT(16)	2124909924822872237	0 42 56 72 116 140 156 176 186 206 222 246 290 306 320 362	-1266516844110
TPT(14)	2124910485006324317	0 2 12 14 120 122 150 152 222 224 234 236 252 254	-706333392030
TPT(14)	2124910900798393091	0 2 60 62 138 140 150 152 360 362 366 368 390 392	-290541323256
SPT(16)	2124910908887485403	0 14 66 90 110 164 168 180 284 296 300 354 374 398 450 464	-282452230944
STPT(10)	2124911037516962267	0 2 60 62 72 74 84 86 144 146	-153822754080
STPT(10)	2124911536773923081	0 2 30 32 60 62 90 92 120 122	345434206734
STPT(10)	2124911730394756949	0 2 48 50 60 62 72 74 120 122	539055040602
SPT(16)	2124911902460668031	0 2 8 68 128 140 200 300 308 408 468 480 540 600 606 608	711120951684
STPT(10)	2124912652925451209	0 2 42 44 60 62 78 80 120 122	1461585734862
SPT(16)	2124912733202767619	0 60 72 80 128 138 168 194 198 224 254 264 312 320 332 392	1541863051272