Prime p₀= 1510662082690668977 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: crashtech
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1510660920962937767	0 56 72 80 132 150 170 206 210 246 266 284 336 344 360 416	-1161727731210
SPT(16)	1510661195715419093	0 20 24 108 140 146 164 216 308 360 378 384 416 500 504 524	-886975249884
STPT(10)	1510661202641229839	0 2 48 50 90 92 132 134 180 182	-880049439138
STPT(10)	1510661362355884559	0 2 42 44 60 62 78 80 120 122	-720334784418
STPT(10)	1510661536265790497	0 2 30 32 120 122 210 212 240 242	-546424878480
SPT(16)	1510661759255663657	0 2 12 54 56 80 86 104 192 210 216 240 242 284 294 296	-323435005320
SPT(16)	1510662220251883373	0 26 78 80 108 120 156 188 198 230 266 278 306 308 360 386	137561214396
STPT(10)	1510662247685822897	0 2 30 32 42 44 54 56 84 86	164995153920
SPT(16)	1510662331803014911	0 28 52 66 70 72 138 148 240 250 316 318 322 336 360 388	249112345934
SPT(16)	1510662443635986983	0 6 14 20 30 44 56 104 180 228 240 254 264 270 278 284	360945318006
SPT(16)	1510662710409612973	0 36 70 78 94 96 148 180 274 306 358 360 376 384 418 454	627718943996