Prime p₀= 2112894982989827129 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

STPT(10)	2112893171855947079	0 2 18 20 30 32 42 44 60 62	-1811133880050
STPT(12)	2112893485208020817	0 2 30 32 54 56 210 212 234 236 264 266	-1497781806312
SPT(16)	2112893578425420767	0 20 26 72 84 114 140 144 182 186 212 242 254 300 306 326	-1404564406362
SPT(16)	2112893714818942999	0 28 30 40 54 58 142 150 172 180 264 268 282 292 294 322	-1268170884130
SPT(16)	2112894227763897031	0 76 100 102 126 132 168 262 276 370 406 412 436 438 462 538	-755225930098
STPT(10)	2112894288985956977	0 2 54 56 72 74 90 92 144 146	-694003870152
SPT(16)	2112895153996444537	0 100 114 210 220 222 244 262 282 300 322 324 334 430 444 544	171006617408
SPT(16)	2112895678884010721	0 30 32 56 150 156 228 242 276 290 362 368 462 486 488 518	695894183592
SPT(16)	2112895700843030629	0 10 18 30 58 70 102 120 130 148 180 192 220 232 240 250	717853203500
SPT(16)	2112895705929969379	0 4 52 94 144 150 168 250 282 364 382 388 438 480 528 532	722940142250
SPT(16)	2112895791317061389	0 44 62 72 92 132 174 204 218 248 290 330 350 360 378 422	808327234260