Prime p₀= 915889780076677529 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Coleslaw
db: batch=76, k=10, 2 10 2 16 2

TPT(14)	915889173344659649	0 2 42 44 78 80 168 170 258 260 282 284 312 314	-606732017880
STPT(10)	915889276381479989	0 2 42 44 120 122 198 200 240 242	-503695197540
STPT(10)	915889342933649471	0 2 30 32 78 80 126 128 156 158	-437143028058
TPT(14)	915889576281778337	0 2 30 32 222 224 264 266 282 284 402 404 444 446	-203794899192
TPT(14)	915889608232870727	0 2 42 44 150 152 222 224 240 242 252 254 264 266	-171843806802
SPT(16)	915889689131160677	0 20 42 66 114 206 216 222 224 230 240 332 380 404 426 446	-90945516852
STPT(10)	915889798955045729	0 2 12 14 90 92 168 170 180 182	18878368200
TPT(14)	915889881749182001	0 2 30 32 60 62 96 98 138 140 180 182 198 200	101672504472
SPT(16)	915889883481032021	0 18 78 92 158 162 200 210 290 300 338 342 408 422 482 500	103404354492
SPT(16)	915889911182477059	0 30 58 78 124 174 180 202 240 262 268 318 364 384 412 442	131105799530
SPT(16)	915890032788975709	0 24 48 70 84 90 202 220 222 240 352 358 372 394 418 442	252712298180