Prime p₀= 1273592904784212977 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1273591242576392609	0 20 30 42 44 80 90 102 212 224 234 270 272 284 294 314	-1662207820368
STPT(10)	1273591487031736487	0 2 24 26 42 44 60 62 84 86	-1417752476490
SPT(16)	1273591823004923869	0 90 130 150 160 172 178 192 328 342 348 360 370 390 430 520	-1081779289108
SPT(16)	1273592137737863621	0 20 60 98 116 138 192 228 230 266 320 342 360 398 438 458	-767046349356
STPT(10)	1273592316984415691	0 2 6 8 48 50 90 92 96 98	-587799797286
STPT(10)	1273592471652580769	0 2 18 20 30 32 42 44 60 62	-433131632208
SPT(16)	1273593010294969729	0 18 70 100 144 150 154 184 234 264 268 274 318 348 400 418	105510756752
STPT(10)	1273593286939684937	0 2 30 32 72 74 114 116 144 146	382155471960
SPT(16)	1273593505600773869	0 18 30 42 92 140 144 200 222 278 282 330 380 392 404 422	600816560892
STPT(10)	1273593617961136991	0 2 36 38 78 80 120 122 156 158	713176924014
TPT(14)	1273594218912835691	0 2 18 20 48 50 126 128 198 200 216 218 240 242	1314128622714