Prime p₀= 2858232669144970301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Time_Traveler
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2858230166562680401	0 6 30 42 76 88 156 160 198 202 270 282 316 328 352 358	-2502582289900
SPT(16)	2858230317707297129	0 2 134 168 174 210 230 258 374 402 422 458 464 498 630 632	-2351437673172
SPT(16)	2858230625481910727	0 12 32 66 102 144 156 222 284 350 362 404 440 474 494 506	-2043663059574
SPT(16)	2858230926613195561	0 102 106 112 126 148 156 180 238 262 270 292 306 312 316 418	-1742531774740
SPT(16)	2858232086832810659	0 20 24 32 54 98 114 132 290 308 324 368 390 398 402 422	-582312159642
STPT(10)	2858232331494688241	0 2 30 32 60 62 90 92 120 122	-337650282060
STPT(10)	2858233149136340159	0 2 18 20 30 32 42 44 60 62	479991369858
STPT(10)	2858233789293060557	0 2 30 32 42 44 54 56 84 86	1120148090256
SPT(16)	2858234404058728559	0 62 90 98 102 120 128 132 140 144 152 170 174 182 210 272	1734913758258
SPT(16)	2858234559994547807	0 2 50 132 134 162 164 182 324 342 344 372 374 456 504 506	1890849577506
SPT(16)	2858234872344406567	0 24 42 46 70 94 124 154 312 342 372 396 420 424 442 466	2203199436266