Prime p₀= 2718376136091022007 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2718374815484207701	0 42 48 52 72 90 126 132 136 142 178 196 216 220 226 268	-1320606814306
TPT(14)	2718375190943268341	0 2 36 38 78 80 198 200 216 218 258 260 270 272	-945147753666
SPT(16)	2718375209041451627	0 2 26 30 72 84 96 114 152 170 182 194 236 240 264 266	-927049570380
SPT(16)	2718375290198309447	0 2 12 14 44 56 80 104 132 156 180 192 222 224 234 236	-845892712560
STPT(10)	2718375895356873107	0 2 30 32 72 74 114 116 144 146	-240734148900
SPT(16)	2718376059077108123	0 14 30 50 66 144 156 176 228 248 260 338 354 374 390 404	-77013913884
STPT(10)	2718376691817746327	0 2 30 32 42 44 54 56 84 86	555726724320
SPT(16)	2718376920793114177	0 4 100 120 142 204 214 240 244 270 280 342 364 384 480 484	784702092170
SPT(16)	2718377453863519829	0 2 24 44 62 80 108 110 192 194 222 240 258 278 300 302	1317772497822
STPT(10)	2718377614177563599	0 2 18 20 30 32 42 44 60 62	1478086541592
STPT(10)	2718378009898670891	0 2 30 32 78 80 126 128 156 158	1873807648884