Prime p₀= 1267484856329888897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1267483261753884689	0 2 48 50 90 92 132 134 180 182	-1594576004208
SPT(16)	1267483375546792249	0 28 40 42 60 72 88 130 180 222 238 250 268 270 282 310	-1480783096648
SPT(18)	1267483480006130749	0 4 18 48 84 118 174 190 214 294 318 334 390 424 460 490 504 508	-1376323758148
SPT(13)	1267483676266486643	0 6 24 30 54 84 90 96 126 150 156 174 180	-1180063402254
SPT(16)	1267484154059018491	0 52 60 70 100 112 166 168 280 282 336 348 378 388 396 448	-702270870406
SPT(16)	1267484172360415463	0 68 80 84 128 186 194 200 264 270 278 336 380 384 396 464	-683969473434
SPT(16)	1267484969910564781	0 10 22 82 112 120 136 138 160 162 178 186 216 276 288 298	113580675884
SPT(16)	1267485112886240933	0 6 14 60 66 80 164 170 210 216 300 314 320 366 374 380	256556352036
STPT(10)	1267485335386188167	0 2 30 32 42 44 54 56 84 86	479056299270
STPT(10)	1267485418114445417	0 2 24 26 42 44 60 62 84 86	561784556520
STPT(10)	1267485705709803491	0 2 6 8 18 20 30 32 36 38	849379914594