Prime p₀= 2969095392412075679 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2969094183517827731	0 6 18 20 36 60 86 92 126 132 158 182 198 200 212 218	-1208894247948
STPT(10)	2969094251490718469	0 2 18 20 30 32 42 44 60 62	-1140921357210
SPT(16)	2969094318323022871	0 22 78 106 132 148 156 168 310 322 330 346 372 400 456 478	-1074089052808
STPT(10)	2969094849592950887	0 2 54 56 72 74 90 92 144 146	-542819124792
STPT(10)	2969095090507623359	0 2 42 44 60 62 78 80 120 122	-301904452320
SPT(16)	2969095169767871371	0 30 76 120 156 238 240 250 318 328 330 412 448 492 538 568	-222644204308
SPT(20)	2969095892433744037	0 16 60 90 94 100 154 172 186 216 220 250 264 282 336 342 346 376 420 436	500021668358
STPT(10)	2969095970501783999	0 2 30 32 60 62 90 92 120 122	578089708320
STPT(10)	2969096214761717111	0 2 36 38 78 80 120 122 156 158	822349641432
SPT(16)	2969096584341479153	0 14 56 80 90 134 146 246 344 444 456 500 510 534 576 590	1191929403474
SPT(16)	2969097054952070719	0 4 42 52 54 88 102 112 120 130 144 178 180 190 228 232	1662539995040