Prime p₀= 2592874783919845811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 58 2 16 2 10 2 (?)
a_n: 0 2 36 38 66 68 78 80 138 140 156 158 168 170
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 170
Found by: pah
db: batch=82, k=14, 34 28 10 58 16 10

STPT(10)	2592873310682622311	0 2 36 38 78 80 120 122 156 158	-1473237223500
STPT(10)	2592873669278983547	0 2 30 32 72 74 114 116 144 146	-1114640862264
SPT(16)	2592874102286835701	0 6 20 50 68 116 120 126 152 158 162 210 228 258 272 278	-681633010110
SPT(16)	2592874300339641949	0 24 54 60 70 82 112 144 190 222 252 264 274 280 310 334	-483580203862
SPT(16)	2592874347145975561	0 28 70 96 120 172 186 208 210 232 246 298 322 348 390 418	-436773870250
SPT(16)	2592874409203984247	0 6 20 62 80 102 146 180 236 270 314 336 354 396 410 416	-374715861564
SPT(16)	2592874859747767201	0 10 12 52 66 76 78 126 172 220 222 232 246 286 288 298	75827921390
STPT(10)	2592875508895704749	0 2 132 134 210 212 288 290 420 422	724975858938
SPT(16)	2592875605290118189	0 4 34 42 60 100 132 142 282 292 324 364 382 390 420 424	821370272378
SPT(16)	2592876004519192687	0 70 84 130 214 250 262 280 414 432 444 480 564 610 624 694	1220599346876
SPT(20)	2592876106713866663	0 50 96 126 174 216 254 260 384 404 450 470 594 600 638 680 728 758 804 854	1322794020852