Prime p₀= 1016251131906461807 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: Theadalus
db: batch=76, k=10, 2 28 2 40 2

STPT(10)	1016250151668873101	0 2 36 38 78 80 120 122 156 158	-980237588706
SPT(16)	1016250309426528811	0 22 46 48 60 66 112 126 172 186 232 238 250 252 276 298	-822479932996
SPT(16)	1016250316735931513	0 36 48 218 276 278 344 348 356 360 426 428 486 656 668 704	-815170530294
SPT(16)	1016250702433772731	0 30 48 106 126 132 190 238 360 408 466 472 492 550 568 598	-429472689076
STPT(10)	1016250846586012559	0 2 18 20 30 32 42 44 60 62	-285320449248
SPT(16)	1016250999216620359	0 30 52 70 78 82 100 114 148 162 180 184 192 210 232 262	-132689841448
SPT(16)	1016251209417469127	0 42 56 110 116 126 222 242 324 344 440 450 456 510 524 566	77511007320
SPT(16)	1016251297250889473	0 14 20 30 36 104 120 126 224 230 246 314 320 330 336 350	165344427666
STPT(10)	1016251505499520061	0 2 36 38 78 80 120 122 156 158	373593058254
STPT(10)	1016251645442230397	0 2 30 32 72 74 114 116 144 146	513535768590
STPT(10)	1016251780093049411	0 2 6 8 18 20 30 32 36 38	648186587604