Prime p₀= 2874598022055989027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 106 2 46 2 52 2 64 2 52 2 (?)
a_n: 0 2 84 86 192 194 240 242 294 296 360 362 414 416
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: 416
Found by: matsu_pl
db: batch=82, k=14, 82 106 46 52 64 52

STPT(10)	2874596512773156539	0 2 18 20 30 32 42 44 60 62	-1509282832488
TPT(14)	2874596565517406381	0 2 36 38 66 68 78 80 120 122 150 152 156 158	-1456538582646
SPT(16)	2874596708169611521	0 52 96 136 286 378 456 460 468 472 550 642 792 832 876 928	-1313886377506
SPT(16)	2874597760581901331	0 18 32 50 68 138 150 176 252 278 290 360 378 396 410 428	-261474087696
SPT(16)	2874598016619016811	0 6 30 60 96 102 146 158 210 222 266 272 308 338 362 368	-5436972216
TPT(14)	2874598021484425979	0 2 30 32 42 44 78 80 120 122 138 140 150 152	-571563048
STPT(10)	2874599193270740459	0 2 18 20 30 32 42 44 60 62	1171214751432
SPT(16)	2874599352657889981	0 76 108 112 132 166 172 178 210 216 222 256 276 280 312 388	1330601900954
SPT(16)	2874599471561275483	0 4 18 60 174 186 190 264 280 354 358 370 484 526 540 544	1449505286456
SPT(16)	2874599545292027801	0 36 78 122 128 162 176 198 260 282 296 330 336 380 422 458	1523236038774
STPT(10)	2874599633205406649	0 2 48 50 90 92 132 134 180 182	1611149417622