Prime p₀= 2513135438999946557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2513134554501850421	0 2 6 8 18 20 30 32 36 38	-884498096136
TPT(14)	2513134606741133741	0 2 60 62 240 242 288 290 300 302 330 332 366 368	-832258812816
SPT(18)	2513134804374798167	0 14 32 50 56 92 120 134 170 186 222 236 264 300 306 324 342 356	-634625148390
STPT(10)	2513134949305206131	0 2 6 8 48 50 90 92 96 98	-489694740426
SPT(16)	2513135249346795211	0 12 42 102 130 138 150 168 172 190 202 210 238 298 328 340	-189653151346
SPT(16)	2513135343489664811	0 36 56 78 92 120 126 152 186 212 218 246 260 282 302 338	-95510281746
SPT(16)	2513135997767853499	0 4 18 52 60 72 84 90 112 118 130 142 150 184 198 202	558767906942
SPT(16)	2513136346241346431	0 6 12 36 50 60 110 116 156 162 212 222 236 260 266 272	907241399874
SPT(20)	2513136533739890173	0 10 64 108 120 126 168 180 198 208 306 316 334 346 388 394 406 450 504 514	1094739943616
SPT(16)	2513136538177681249	0 10 12 40 52 120 130 142 150 162 172 240 252 280 282 292	1099177734692
SPT(16)	2513136670714004581	0 10 52 72 96 130 138 168 250 280 288 322 346 366 408 418	1231714058024