Prime p₀= 2871559880652976991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Landjunge
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2871558793780888579	0 18 30 42 54 58 102 130 252 280 324 328 340 352 364 382	-1086872088412
STPT(10)	2871559402269839327	0 2 54 56 72 74 90 92 144 146	-478383137664
TPT(14)	2871559433851715597	0 2 72 74 84 86 90 92 132 134 174 176 180 182	-446801261394
STPT(10)	2871559433851715681	0 2 6 8 48 50 90 92 96 98	-446801261310
SPT(13)	2871559442813296771	0 6 30 72 90 132 156 180 222 240 282 306 312	-437839680220
SPT(16)	2871559665124209467	0 14 20 50 90 104 126 240 266 380 402 416 456 486 492 506	-215528767524
STPT(10)	2871560208964971611	0 2 6 8 48 50 90 92 96 98	328311994620
SPT(16)	2871560230797026011	0 22 46 90 106 180 210 216 286 292 322 396 412 456 480 502	350144049020
SPT(16)	2871560339610523867	0 4 10 22 52 166 190 196 270 276 300 414 444 456 462 466	458957546876
STPT(10)	2871560499189171869	0 2 48 50 60 62 72 74 120 122	618536194878
STPT(10)	2871560672555866349	0 2 42 44 60 62 78 80 120 122	791902889358