Prime p₀= 1223733159213253259 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: Theadalus
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1223732203433624627	0 2 30 32 42 44 54 56 84 86	-955779628632
STPT(10)	1223732384837746541	0 2 6 8 18 20 30 32 36 38	-774375506718
SPT(16)	1223732424085078459	0 18 30 48 100 154 160 168 184 192 198 252 304 322 334 352	-735128174800
STPT(10)	1223732739470262377	0 2 42 44 72 74 102 104 144 146	-419742990882
SPT(16)	1223732864197296989	0 12 32 90 120 132 162 174 188 200 230 242 272 330 350 362	-295015956270
TPT(14)	1223733079033530851	0 2 30 32 36 38 156 158 168 170 186 188 240 242	-80179722408
STPT(10)	1223733301456082927	0 2 42 44 72 74 102 104 144 146	142242829668
TPT(14)	1223733420971489651	0 2 108 110 186 188 240 242 378 380 408 410 480 482	261758236392
SPT(16)	1223733559867835123	0 30 48 78 90 134 144 170 258 284 294 338 350 380 398 428	400654581864
SPT(16)	1223733572207906779	0 10 22 42 64 78 88 178 204 294 304 318 340 360 372 382	412994653520
SPT(16)	1223733620538124769	0 30 50 68 78 90 110 128 222 240 260 272 282 300 320 350	461324871510