Prime p₀= 2954584410622798727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2954582577586178213	0 36 44 50 56 80 96 98 276 278 294 318 324 330 338 374	-1833036620514
SPT(16)	2954582601381130301	0 2 72 86 108 140 176 182 186 192 228 260 282 296 366 368	-1809241668426
SPT(16)	2954582998185717929	0 62 78 108 120 140 144 150 242 248 252 272 284 314 330 392	-1412437080798
SPT(16)	2954583487826021707	0 10 12 24 40 60 84 130 144 190 214 234 250 262 264 274	-922796777020
STPT(10)	2954583630690263357	0 2 30 32 60 62 90 92 120 122	-779932535370
STPT(10)	2954583841039849157	0 2 42 44 72 74 102 104 144 146	-569582949570
STPT(10)	2954584463305662347	0 2 30 32 42 44 54 56 84 86	52682863620
SPT(16)	2954584928935559957	0 14 24 36 50 86 104 120 170 186 204 240 254 266 276 290	518312761230
STPT(10)	2954585493698374979	0 2 42 44 60 62 78 80 120 122	1083075576252
SPT(16)	2954585908462147979	0 48 78 90 104 158 162 182 270 290 294 348 362 374 404 452	1497839349252
SPT(16)	2954586288000844883	0 14 68 74 84 110 128 176 228 276 294 320 330 336 390 404	1877378046156