Prime p₀= 2081014600973558849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2081012779798323583	0 4 28 36 46 88 114 150 154 190 216 258 268 276 300 304	-1821175235266
SPT(16)	2081013001343063113	0 60 88 118 154 216 258 270 274 286 328 390 426 456 484 544	-1599630495736
STPT(10)	2081013178243143797	0 2 42 44 72 74 102 104 144 146	-1422730415052
STPT(10)	2081013321540673307	0 2 60 62 72 74 84 86 144 146	-1279432885542
STPT(10)	2081013417181934621	0 2 78 80 138 140 198 200 276 278	-1183791624228
SPT(16)	2081014406749227923	0 18 50 56 98 108 156 246 290 380 428 438 480 486 518 536	-194224330926
STPT(10)	2081014715264324549	0 2 48 50 90 92 132 134 180 182	114290765700
SPT(16)	2081015422699232483	0 60 114 120 146 176 230 246 254 270 324 354 380 386 440 500	821725673634
SPT(16)	2081015602656911719	0 28 30 54 102 120 138 144 148 154 172 190 238 262 264 292	1001683352870
SPT(16)	2081016222609621467	0 30 86 126 134 200 254 260 366 372 426 492 500 540 596 626	1621636062618
STPT(10)	2081016508167637277	0 2 30 32 42 44 54 56 84 86	1907194078428