Prime p₀= 1013227718682585191 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: stoneageman
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1013226938204512597	0 42 82 90 112 114 180 186 250 256 322 324 346 354 394 436	-780478072594
SPT(16)	1013227019952905099	0 30 72 90 102 132 210 212 270 272 350 380 392 410 452 482	-698729680092
STPT(10)	1013227164951214667	0 2 24 26 42 44 60 62 84 86	-553731370524
SPT(13)	1013227276526806379	0 42 48 78 90 108 120 132 150 162 192 198 240	-442155778812
TPT(14)	1013227574370372707	0 2 162 164 294 296 300 302 390 392 420 422 540 542	-144312212484
SPT(16)	1013227575208302809	0 32 110 120 168 188 192 218 234 260 264 284 332 342 420 452	-143474282382
STPT(10)	1013227844321331641	0 2 30 32 60 62 90 92 120 122	125638746450
STPT(10)	1013228099678356907	0 2 90 92 102 104 114 116 204 206	380995771716
STPT(10)	1013228484205397459	0 2 18 20 30 32 42 44 60 62	765522812268
STPT(10)	1013228726496443057	0 2 42 44 72 74 102 104 144 146	1007813857866
TPT(14)	1013228878554289277	0 2 12 14 60 62 72 74 102 104 114 116 150 152	1159871704086