Prime p₀= 2254739039956278287 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: JayPi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2254737788049095527	0 10 52 54 100 120 126 136 210 220 226 246 292 294 336 346	-1251907182760
STPT(10)	2254737805306873091	0 2 6 8 18 20 30 32 36 38	-1234649405196
SPT(16)	2254737936152604853	0 40 54 108 126 144 150 174 220 244 250 268 286 340 354 394	-1103803673434
SPT(16)	2254738050215512577	0 86 126 134 140 156 174 200 300 326 344 360 366 374 414 500	-989740765710
SPT(16)	2254738431160641319	0 10 22 40 60 84 124 154 270 300 340 364 384 402 414 424	-608795636968
SPT(16)	2254738453416667571	0 2 8 36 72 86 92 122 126 156 162 176 212 240 246 248	-586539610716
STPT(10)	2254739519373412691	0 2 6 8 48 50 90 92 96 98	479417134404
SPT(16)	2254739767670834579	0 2 78 80 158 174 210 230 312 332 368 384 462 464 540 542	727714556292
SPT(16)	2254740094617376799	0 2 20 32 38 44 54 90 122 158 168 174 180 192 210 212	1054661098512
SPT(16)	2254740223159375727	0 14 24 62 90 122 132 140 156 164 174 206 234 272 282 296	1183203097440
SPT(16)	2254740574560099853	0 54 64 66 108 168 234 240 244 250 316 376 418 420 430 484	1534603821566