Prime p₀= 2956995803691306857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2956993523142727897	0 70 76 82 90 112 132 156 160 184 204 226 234 240 246 316	-2280548578960
SPT(16)	2956993533343403311	0 10 52 102 160 168 226 238 300 312 370 378 436 486 528 538	-2270347903546
SPT(16)	2956994269485883213	0 30 54 58 70 108 114 198 250 334 340 378 390 394 418 448	-1534205423644
STPT(12)	2956994414225035211	0 2 30 32 60 62 126 128 156 158 186 188	-1389466271646
SPT(16)	2956994926016698873	0 10 48 70 76 106 120 180 274 334 348 378 384 406 444 454	-877674607984
SPT(16)	2956995759518940379	0 28 48 84 114 130 168 184 204 220 258 274 304 340 360 388	-44172366478
SPT(16)	2956996541774552089	0 4 18 70 112 138 192 222 310 340 394 420 462 514 528 532	738083245232
SPT(16)	2956996564904578387	0 24 46 94 102 112 132 142 144 154 174 184 192 240 262 286	761213271530
SPT(16)	2956996625682764473	0 30 174 204 226 298 300 328 366 394 396 468 490 520 664 694	821991457616
STPT(10)	2956997091694120217	0 2 12 14 42 44 72 74 84 86	1288002813360
TPT(14)	2956997148659164229	0 2 48 50 78 80 132 134 150 152 180 182 192 194	1344967857372