Prime p₀= 2577558828554446739 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: Penguin
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2577556313454130291	0 28 96 126 148 178 192 208 360 376 390 420 442 472 540 568	-2515100316448
SPT(16)	2577556392166896761	0 36 38 60 96 152 158 168 200 210 216 272 308 330 332 368	-2436387549978
SPT(16)	2577557395468073401	0 10 18 28 40 48 126 130 258 262 340 348 360 370 378 388	-1433086373338
SPT(16)	2577558423657797309	0 32 48 120 132 170 200 218 252 270 300 338 350 422 438 470	-404896649430
SPT(16)	2577558619747589549	0 42 80 92 114 122 152 180 224 252 282 290 312 324 362 404	-208806857190
STPT(10)	2577558639103007177	0 2 60 62 102 104 144 146 204 206	-189451439562
SPT(16)	2577558849921399341	0 6 20 26 180 200 210 236 336 362 372 392 546 552 566 572	21366952602
SPT(16)	2577558948910397623	0 34 40 64 210 220 238 250 288 300 318 328 474 498 504 538	120355950884
STPT(10)	2577559168134791177	0 2 30 32 42 44 54 56 84 86	339580344438
STPT(10)	2577559432064612291	0 2 6 8 18 20 30 32 36 38	603510165552
SPT(16)	2577559714352262583	0 4 16 40 48 60 66 76 108 118 124 136 144 168 180 184	885797815844