Prime p₀= 2181335361837572999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: [SG-FC] hl
db: batch=81, k=10, 2 40 2 76 2

SPT(16)	2181333549733312127	0 2 6 86 96 140 150 182 324 356 366 410 420 500 504 506	-1812104260872
SPT(16)	2181333720734736037	0 10 16 40 72 82 96 100 192 196 210 220 252 276 282 292	-1641102836962
SPT(16)	2181333890645746853	0 30 66 78 80 86 104 224 240 360 378 384 386 398 434 464	-1471191826146
SPT(16)	2181333976726697839	0 28 30 34 88 114 118 180 202 264 268 294 348 352 354 382	-1385110875160
STPT(10)	2181333997717214309	0 2 12 14 30 32 48 50 60 62	-1364120358690
SPT(16)	2181334073823430297	0 4 90 126 150 156 160 184 246 270 274 280 304 340 426 430	-1288014142702
SPT(16)	2181335484146174761	0 30 72 88 108 150 168 208 312 352 370 412 432 448 490 520	122308601762
STPT(10)	2181335979679689629	0 2 18 20 30 32 42 44 60 62	617842116630
TPT(14)	2181336090195609899	0 2 60 62 138 140 180 182 270 272 312 314 360 362	728358036900
SPT(16)	2181336560455199401	0 30 46 52 88 132 156 190 198 232 256 300 336 342 358 388	1198617626402
STPT(10)	2181336804181822751	0 2 36 38 78 80 120 122 156 158	1442344249752