Prime p₀= 2089720756757192357 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: Conan
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2089719691198788599	0 42 90 152 242 264 294 308 354 368 398 420 510 572 620 662	-1065558403758
SPT(16)	2089719803550025067	0 14 36 44 50 84 110 114 122 126 152 186 192 200 222 236	-953207167290
STPT(10)	2089719884902466417	0 2 12 14 42 44 72 74 84 86	-871854725940
SPT(16)	2089719902542589417	0 80 132 162 170 174 200 206 210 216 242 246 254 284 336 416	-854214602940
SPT(16)	2089720021653652021	0 40 96 126 148 208 222 238 240 256 270 330 352 382 438 478	-735103540336
STPT(10)	2089720526727453701	0 2 6 8 48 50 90 92 96 98	-230029738656
STPT(10)	2089720936187591219	0 2 42 44 60 62 78 80 120 122	179430398862
TPT(14)	2089721044808873261	0 2 36 38 60 62 90 92 126 128 210 212 258 260	288051680904
STPT(10)	2089721199474488771	0 2 36 38 78 80 120 122 156 158	442717296414
TPT(14)	2089721223719100311	0 2 30 32 60 62 96 98 198 200 216 218 228 230	466961907954
SPT(16)	2089721379011325197	0 20 54 80 116 132 144 194 222 272 284 300 336 362 396 416	622254132840