Prime p₀= 2899696873031364947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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 28 2 40 2

SPT(16)	2899696488492213589	0 4 48 102 132 142 190 204 208 222 270 280 310 364 408 412	-384539151358
STPT(10)	2899696565463651521	0 2 126 128 138 140 150 152 276 278	-307567713426
SPT(16)	2899696712149029701	0 2 96 126 186 192 212 240 362 390 410 416 476 506 600 602	-160882335246
SPT(16)	2899696823362745891	0 8 30 60 66 80 86 90 158 162 168 182 188 218 240 248	-49668619056
STPT(10)	2899696829547294809	0 2 42 44 90 92 138 140 180 182	-43484070138
SPT(16)	2899696845404722327	0 4 42 70 76 84 90 96 130 136 142 150 156 184 222 226	-27626642620
SPT(16)	2899697280066143021	0 12 72 182 266 290 306 362 390 446 462 486 570 680 740 752	407034778074
SPT(18)	2899697529138888031	0 16 60 66 88 108 126 136 180 196 240 250 268 288 310 316 360 376	656107523084
STPT(10)	2899697770946097131	0 2 6 8 48 50 90 92 96 98	897914732184
SPT(16)	2899698157386882869	0 8 14 20 50 54 68 84 98 114 128 132 162 168 174 182	1284355517922
SPT(16)	2899698481999224173	0 24 38 98 104 114 240 290 318 368 494 504 510 570 584 608	1608967859226