Prime p₀= 2541444282909712067 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: SEARCHER
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2541442732479525103	0 120 154 168 264 276 300 318 346 364 388 400 496 510 544 664	-1550430186964
SPT(16)	2541443481918004051	0 40 66 78 82 136 148 226 342 420 432 486 490 502 528 568	-800991708016
SPT(16)	2541443598503278289	0 8 14 42 60 72 78 98 144 164 170 182 200 228 234 242	-684406433778
SPT(16)	2541443912767359421	0 30 90 106 108 120 142 162 196 216 238 250 252 268 328 358	-370142352646
SPT(16)	2541443930475379799	0 30 38 48 74 78 114 158 174 218 254 258 284 294 302 332	-352434332268
STPT(10)	2541444271558453169	0 2 18 20 30 32 42 44 60 62	-11351258898
STPT(10)	2541444402646208999	0 2 18 20 60 62 102 104 120 122	119736496932
STPT(10)	2541444839677070099	0 2 48 50 90 92 132 134 180 182	556767358032
SPT(16)	2541444903371025653	0 8 60 74 110 128 138 140 198 200 210 228 264 278 330 338	620461313586
STPT(10)	2541445783211706377	0 2 30 32 42 44 54 56 84 86	1500301994310
SPT(16)	2541445823622581773	0 18 30 34 46 60 66 100 144 178 184 198 210 214 226 244	1540712869706