Prime p₀= 2267690958641028617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: JayPi
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2267689803642483907	0 16 22 52 124 126 142 180 196 234 250 252 324 354 360 376	-1154998544710
SPT(16)	2267690295381272549	0 8 12 20 42 50 54 68 84 98 102 110 132 140 144 152	-663259756068
STPT(10)	2267690389374688541	0 2 6 8 48 50 90 92 96 98	-569266340076
STPT(10)	2267690659338826607	0 2 54 56 72 74 90 92 144 146	-299302202010
SPT(16)	2267690717952487753	0 4 18 66 70 76 84 144 160 220 228 234 238 286 300 304	-240688540864
TPT(14)	2267690838777155117	0 2 72 74 144 146 210 212 282 284 342 344 390 392	-119863873500
STPT(10)	2267691382607597627	0 2 90 92 102 104 114 116 204 206	423966569010
SPT(16)	2267691389303970559	0 4 12 24 28 40 54 70 72 88 102 114 118 130 138 142	430662941942
TPT(14)	2267691742429246451	0 2 6 8 36 38 48 50 90 92 138 140 336 338	783788217834
SPT(18)	2267693169090100399	0 4 42 160 168 180 258 312 330 382 400 454 532 544 552 670 708 712	2210449071782
SPT(16)	2267693183939697727	0 16 24 42 52 54 76 124 252 300 322 324 334 352 360 376	2225298669110