Prime p₀= 1058551949096563307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: arkiss
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1058551173599785661	0 12 110 158 180 210 242 258 320 336 368 398 420 468 566 578	-775496777646
STPT(10)	1058551180794871607	0 2 30 32 42 44 54 56 84 86	-768301691700
SPT(16)	1058551339544023037	0 14 30 44 102 110 182 194 312 324 396 404 462 476 492 506	-609552540270
SPT(16)	1058551389090835799	0 32 68 98 150 188 242 258 284 300 354 392 444 474 510 542	-560005727508
SPT(16)	1058551923600909977	0 2 12 56 110 140 170 176 240 246 276 306 360 404 414 416	-25495653330
SPT(16)	1058551929634163287	0 10 16 24 42 52 112 114 142 144 204 214 232 240 246 256	-19462400020
STPT(10)	1058552214866119109	0 2 48 50 90 92 132 134 180 182	265769555802
STPT(10)	1058552507470409891	0 2 30 32 60 62 90 92 120 122	558373846584
STPT(10)	1058552521439748287	0 2 30 32 42 44 54 56 84 86	572343184980
TPT(14)	1058552545854701747	0 2 120 122 150 152 222 224 234 236 300 302 342 344	596758138440
STPT(10)	1058552713269923327	0 2 30 32 42 44 54 56 84 86	764173360020