Prime p₀= 1274069368657502111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: HenkM
db: batch=77, k=10, 2 28 2 46 2

STPT(10)	1274068434497879477	0 2 30 32 72 74 114 116 144 146	-934159622634
STPT(10)	1274068561580689541	0 2 6 8 18 20 30 32 36 38	-807076812570
SPT(16)	1274068629888078239	0 12 74 120 132 140 180 200 204 224 264 272 284 330 392 404	-738769423872
SPT(16)	1274068711311019357	0 10 12 16 66 82 94 100 126 132 144 160 210 214 216 226	-657346482754
STPT(10)	1274068838030902097	0 2 30 32 60 62 90 92 120 122	-530626600014
SPT(16)	1274069107024305517	0 6 34 46 90 156 160 162 184 186 190 256 300 312 340 346	-261633196594
SPT(16)	1274070087580477511	0 36 48 56 80 86 128 132 206 210 252 258 282 290 302 338	718922975400
SPT(16)	1274070124300443641	0 20 36 56 68 96 146 152 156 162 212 240 252 272 288 308	755642941530
SPT(16)	1274070393011894581	0 42 60 78 82 96 166 168 190 192 262 276 280 298 316 358	1024354392470
SPT(16)	1274070614925817427	0 6 90 134 140 162 164 200 336 372 374 396 402 446 530 536	1246268315316
SPT(16)	1274070993831697157	0 54 62 110 126 140 150 152 264 266 276 290 306 354 362 416	1625174195046