Prime p₀= 2378687806986833939 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: MarkRBright
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2378686057664937919	0 40 82 90 108 174 178 204 238 264 268 334 352 360 402 442	-1749321896020
STPT(10)	2378686414377079307	0 2 54 56 72 74 90 92 144 146	-1392609754632
SPT(16)	2378686636433038541	0 8 30 36 68 80 96 110 126 140 156 168 200 206 228 236	-1170553795398
STPT(10)	2378686998943445087	0 2 42 44 72 74 102 104 144 146	-808043388852
SPT(16)	2378687030803945483	0 18 30 34 70 94 100 124 144 168 174 198 234 238 250 268	-776182888456
SPT(16)	2378687060403623521	0 18 70 82 100 178 222 238 252 268 312 390 408 420 472 490	-746583210418
SPT(16)	2378688312080857963	0 28 58 60 90 118 130 138 148 156 168 196 226 228 258 286	505094024024
SPT(18)	2378688910854159571	0 72 82 90 106 148 160 232 250 318 336 408 420 462 478 486 496 568	1103867325632
STPT(10)	2378688930701442179	0 2 18 20 30 32 42 44 60 62	1123714608240
SPT(16)	2378689040790840671	0 12 36 60 62 108 126 138 230 242 260 306 308 332 356 368	1233804006732
SPT(16)	2378689152294024571	0 18 46 58 60 82 112 156 262 306 336 358 360 372 400 418	1345307190632