Prime p₀= 2721108674655397667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 76 2 40 2 34 2 10 2 10 2 (?)
a_n: 0 2 144 146 222 224 264 266 300 302 312 314 324 326
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: 326
Found by: [SG-FC] hl
db: batch=82, k=14, 142 76 40 34 10 10

TPT(14)	2721107590490082179	0 2 138 140 150 152 180 182 192 194 198 200 330 332	-1084165315488
SPT(16)	2721107685303250513	0 36 58 78 106 124 154 216 238 300 330 348 376 396 418 454	-989352147154
STPT(10)	2721107850294865919	0 2 18 20 30 32 42 44 60 62	-824360531748
SPT(16)	2721108093074699381	0 86 98 110 120 140 158 162 176 180 198 218 228 240 252 338	-581580698286
SPT(16)	2721108220730794373	0 24 44 156 198 246 278 290 294 306 338 386 428 540 560 584	-453924603294
STPT(10)	2721108316778130437	0 2 54 56 72 74 90 92 144 146	-357877267230
SPT(16)	2721108751119921973	0 4 46 48 66 90 94 114 130 150 154 178 196 198 240 244	76464524306
SPT(16)	2721108882875205803	0 18 96 110 114 156 170 194 210 234 248 290 294 308 386 404	208219808136
STPT(10)	2721109198153182971	0 2 78 80 138 140 198 200 276 278	523497785304
STPT(10)	2721109365474057587	0 2 30 32 42 44 54 56 84 86	690818659920
STPT(10)	2721109478555212907	0 2 30 32 42 44 54 56 84 86	803899815240