Prime p₀= 1316083999950372857 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: suriv
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1316083493164683251	0 2 30 50 110 116 120 140 198 218 222 228 288 308 336 338	-506785689606
TPT(14)	1316083511243537327	0 2 12 14 90 92 132 134 264 266 282 284 354 356	-488706835530
SPT(16)	1316083626557321257	0 16 70 154 184 210 214 240 256 282 286 312 342 426 480 496	-373393051600
STPT(10)	1316083876186814489	0 2 18 20 30 32 42 44 60 62	-123763558368
SPT(16)	1316083880692930253	0 24 60 66 90 116 144 146 168 170 198 224 248 254 290 314	-119257442604
SPT(20)	1316083919502351859	0 18 28 52 54 58 70 132 138 160 192 214 220 282 294 298 300 324 334 352	-80448020998
STPT(10)	1316084142677558069	0 2 12 14 30 32 48 50 60 62	142727185212
SPT(16)	1316084171012093443	0 4 16 30 70 88 190 210 214 234 336 354 394 408 420 424	171061720586
SPT(16)	1316084314904449001	0 6 20 32 90 116 132 140 162 170 186 212 270 282 296 302	314954076144
SPT(16)	1316084324873480231	0 38 80 98 102 122 200 248 402 450 528 548 552 570 612 650	324923107374
STPT(10)	1316084454053836541	0 2 6 8 48 50 90 92 96 98	454103463684