Prime p₀= 1013556928111616477 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: Spectrum
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1013556079299759179	0 2 18 20 30 32 42 44 60 62	-848811857298
STPT(10)	1013556136703621219	0 2 42 44 60 62 78 80 120 122	-791407995258
SPT(16)	1013556219303779111	0 6 20 30 56 86 108 140 366 398 420 450 476 486 500 506	-708807837366
SPT(16)	1013556391993510909	0 12 120 238 250 280 312 342 370 400 432 462 474 592 700 712	-536118105568
SPT(16)	1013556714933041359	0 28 34 114 120 124 148 168 190 210 234 238 244 324 330 358	-213178575118
SPT(16)	1013556732753126091	0 18 48 70 76 82 90 102 106 118 126 132 138 160 190 208	-195358490386
SPT(16)	1013556997026911611	0 36 72 82 106 108 138 148 270 280 310 312 336 346 382 418	68915295134
SPT(16)	1013557032993957709	0 10 24 52 54 78 88 102 130 144 154 178 180 208 222 232	104882341232
SPT(16)	1013557079438589821	0 66 108 116 188 218 248 252 266 270 300 330 402 410 452 518	151326973344
TPT(14)	1013557714175326811	0 2 78 80 150 152 210 212 306 308 330 332 348 350	786063710334
TPT(14)	1013557822190752637	0 2 12 14 42 44 84 86 162 164 192 194 390 392	894079136160