Prime p₀= 2874651370044810329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 34 2 70 2 16 2 (?)
a_n: 0 2 30 32 42 44 72 74 108 110 180 182 198 200
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: 200
Found by: Roadranner
db: batch=82, k=14, 28 10 28 34 70 16

STPT(10)	2874649189303439027	0 2 30 32 42 44 54 56 84 86	-2180741371302
SPT(16)	2874649373722775689	0 22 28 40 78 138 148 178 204 234 244 304 342 354 360 382	-1996322034640
SPT(16)	2874649695058322809	0 4 12 52 78 88 118 124 258 264 294 304 330 370 378 382	-1674986487520
SPT(16)	2874649733810531977	0 40 60 76 130 166 192 196 276 280 306 342 396 412 432 472	-1636234278352
SPT(16)	2874651056251091849	0 8 14 50 90 92 98 120 242 264 270 272 312 348 354 362	-313793718480
SPT(16)	2874651171235549523	0 20 44 56 74 86 110 116 168 174 198 210 228 240 264 284	-198809260806
SPT(16)	2874651491835292357	0 12 40 42 52 82 84 94 102 112 114 144 154 156 184 196	121790482028
STPT(10)	2874651710704791929	0 2 18 20 30 32 42 44 60 62	340659981600
STPT(10)	2874652204874744849	0 2 42 44 60 62 78 80 120 122	834829934520
TPT(14)	2874652349060054681	0 2 30 32 150 152 156 158 186 188 240 242 306 308	979015244352
SPT(16)	2874652497673658683	0 16 18 24 34 66 78 144 160 226 238 270 280 286 288 304	1127628848354