Prime p₀= 1013227164951214667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

TPT(14)	1013226367943598647	0 2 12 14 42 44 60 62 102 104 150 152 222 224	-797007616020
SPT(16)	1013226403715939401	0 10 42 58 70 130 136 172 216 252 258 318 330 346 378 388	-761235275266
STPT(10)	1013226472281515519	0 2 18 20 30 32 42 44 60 62	-692669699148
STPT(10)	1013226915332234399	0 2 18 20 30 32 42 44 60 62	-249618980268
SPT(16)	1013226938204512597	0 42 82 90 112 114 180 186 250 256 322 324 346 354 394 436	-226746702070
SPT(16)	1013227019952905099	0 30 72 90 102 132 210 212 270 272 350 380 392 410 452 482	-144998309568
SPT(13)	1013227276526806379	0 42 48 78 90 108 120 132 150 162 192 198 240	111575591712
TPT(14)	1013227574370372707	0 2 162 164 294 296 300 302 390 392 420 422 540 542	409419158040
SPT(16)	1013227575208302809	0 32 110 120 168 188 192 218 234 260 264 284 332 342 420 452	410257088142
STPT(10)	1013227718682585191	0 2 36 38 78 80 120 122 156 158	553731370524
STPT(10)	1013227844321331641	0 2 30 32 60 62 90 92 120 122	679370116974