Prime p₀= 1308020116778165927 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Theadalus
db: batch=77, k=10, 2 40 2 88 2

SPT(16)	1308019182984199519	0 54 72 78 84 94 108 144 148 184 198 208 214 220 238 292	-933793966408
SPT(16)	1308019306432449847	0 10 12 64 84 112 124 130 144 150 162 190 210 262 264 274	-810345716080
TPT(14)	1308019348979402669	0 2 42 44 210 212 282 284 390 392 432 434 582 584	-767798763258
SPT(16)	1308019632261263191	0 22 28 72 88 130 168 180 190 202 240 282 298 342 348 370	-484516902736
STPT(10)	1308019876363843337	0 2 30 32 60 62 90 92 120 122	-240414322590
SPT(16)	1308019941387332357	0 44 56 72 104 132 174 224 342 392 434 462 494 510 522 566	-175390833570
SPT(16)	1308020214352575277	0 42 46 52 72 102 142 156 166 180 220 250 270 276 280 322	97574409350
STPT(10)	1308020249549926607	0 2 30 32 60 62 90 92 120 122	132771760680
STPT(10)	1308020536882024781	0 2 6 8 48 50 90 92 96 98	420103858854
STPT(10)	1308020827077083891	0 2 30 32 78 80 126 128 156 158	710298917964
SPT(20)	1308020962368086279	0 68 74 98 224 260 284 288 302 308 414 420 434 438 462 498 624 648 654 722	845589920352