Prime p₀= 2131016410631114099 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)	2131016026370377589	0 2 18 20 60 62 102 104 120 122	-384260736510
SPT(16)	2131016077939747751	0 2 8 48 78 102 168 188 252 272 338 362 392 432 438 440	-332691366348
SPT(16)	2131016089930473497	0 26 96 114 120 174 180 240 320 380 386 440 446 464 534 560	-320700640602
SPT(16)	2131016139255478001	0 20 36 48 62 90 116 140 168 192 218 246 260 272 288 308	-271375636098
TPT(14)	2131016237744067449	0 2 18 20 138 140 180 182 222 224 270 272 318 320	-172887046650
STPT(10)	2131016280337414529	0 2 42 44 90 92 138 140 180 182	-130293699570
SPT(16)	2131016879853549601	0 6 12 16 42 58 82 96 232 246 270 286 312 316 322 328	469222435502
STPT(10)	2131017124929863867	0 2 30 32 72 74 114 116 144 146	714298749768
TPT(14)	2131017627643967771	0 2 18 20 60 62 78 80 120 122 126 128 258 260	1217012853672
SPT(16)	2131018124235850469	0 14 78 162 168 188 272 278 294 300 384 404 410 494 558 572	1713604736370
SPT(16)	2131018137819683227	0 34 84 90 96 100 112 142 264 294 306 310 316 322 372 406	1727188569128