Prime p₀= 2162703428395530791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Landjunge
db: batch=81, k=10, 2 106 2 28 2

SPT(16)	2162701747437257239	0 58 70 72 100 114 118 148 174 204 208 222 250 252 264 322	-1680958273552
STPT(10)	2162701808595114119	0 2 48 50 90 92 132 134 180 182	-1619800416672
SPT(16)	2162702193951323371	0 28 88 96 100 112 202 252 286 336 426 438 442 450 510 538	-1234444207420
SPT(18)	2162702727311628529	0 40 102 144 150 178 180 258 280 282 304 382 384 412 418 460 522 562	-701083902262
SPT(16)	2162702943986374807	0 30 34 52 106 132 154 220 306 372 394 420 474 492 496 526	-484409155984
STPT(10)	2162703400996110521	0 2 6 8 48 50 90 92 96 98	-27399420270
SPT(16)	2162703451518563207	0 36 50 72 114 122 126 144 182 200 204 212 254 276 290 326	23123032416
STPT(10)	2162703453723537539	0 2 42 44 150 152 258 260 300 302	25328006748
SPT(16)	2162703669407275909	0 4 40 78 82 132 144 148 234 238 250 300 304 342 378 382	241011745118
SPT(16)	2162703867847543759	0 4 82 112 138 142 148 204 208 264 270 274 300 330 408 412	439452012968
STPT(10)	2162704026261288359	0 2 12 14 90 92 168 170 180 182	597865757568