Prime p₀= 2113018467953713169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2113016551590887837	0 12 32 146 156 170 234 242 264 272 336 350 360 474 494 506	-1916362825332
STPT(10)	2113016878363280801	0 2 6 8 18 20 30 32 36 38	-1589590432368
SPT(16)	2113017206591791051	0 52 136 208 220 270 342 378 520 556 628 678 690 762 846 898	-1261361922118
STPT(10)	2113017508862004221	0 2 36 38 78 80 120 122 156 158	-959091708948
SPT(16)	2113017682699768781	0 6 62 66 72 80 150 180 182 212 282 290 296 300 356 362	-785253944388
SPT(16)	2113017697585677523	0 40 46 58 78 166 186 214 240 268 288 376 396 408 414 454	-770368035646
SPT(16)	2113018542350276569	0 4 10 108 130 180 198 208 240 250 268 318 340 438 444 448	74396563400
STPT(10)	2113018568521930211	0 2 6 8 18 20 30 32 36 38	100568217042
STPT(10)	2113018703676687347	0 2 30 32 72 74 114 116 144 146	235722974178
TPT(14)	2113019236890522971	0 2 6 8 48 50 90 92 138 140 150 152 306 308	768936809802
SPT(16)	2113019753619256981	0 52 66 70 72 78 160 162 226 228 310 316 318 322 336 388	1285665543812