Prime p₀= 2592875508895704749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 130 2 76 2 76 2 130 2 (?)
a_n: 0 2 132 134 210 212 288 290 420 422
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: 422
Found by: pah
db: batch=82, k=10, 2 130 2 76 2

SPT(16)	2592874102286835701	0 6 20 50 68 116 120 126 152 158 162 210 228 258 272 278	-1406608869048
SPT(16)	2592874300339641949	0 24 54 60 70 82 112 144 190 222 252 264 274 280 310 334	-1208556062800
SPT(16)	2592874347145975561	0 28 70 96 120 172 186 208 210 232 246 298 322 348 390 418	-1161749729188
SPT(16)	2592874409203984247	0 6 20 62 80 102 146 180 236 270 314 336 354 396 410 416	-1099691720502
TPT(14)	2592874783919845811	0 2 36 38 66 68 78 80 138 140 156 158 168 170	-724975858938
SPT(16)	2592874859747767201	0 10 12 52 66 76 78 126 172 220 222 232 246 286 288 298	-649147937548
SPT(16)	2592875605290118189	0 4 34 42 60 100 132 142 282 292 324 364 382 390 420 424	96394413440
SPT(16)	2592876004519192687	0 70 84 130 214 250 262 280 414 432 444 480 564 610 624 694	495623487938
SPT(20)	2592876106713866663	0 50 96 126 174 216 254 260 384 404 450 470 594 600 638 680 728 758 804 854	597818161914
SPT(16)	2592876162051684451	0 52 66 76 82 90 148 150 178 180 238 246 252 262 276 328	653155979702
STPT(10)	2592876936416861849	0 2 18 20 30 32 42 44 60 62	1427521157100