Prime p₀= 1127460738033471419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 64 2 82 2 28 2 28 2 (?)
a_n: 0 2 90 92 132 134 198 200 282 284 312 314 342 344
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: 344
Found by: crashtech
db: batch=76, k=14, 88 40 64 82 28 28

STPT(10)	1127458323227053001	0 2 30 32 60 62 90 92 120 122	-2414806418418
SPT(16)	1127458699731192043	0 24 54 66 96 120 190 196 288 294 364 388 418 430 460 484	-2038302279376
SPT(16)	1127459336479553641	0 18 40 70 72 82 130 156 172 198 246 256 258 288 310 328	-1401553917778
STPT(10)	1127459592019605539	0 2 30 32 60 62 90 92 120 122	-1146013865880
SPT(16)	1127460348269855837	0 42 84 102 152 180 222 224 282 284 326 354 404 422 464 506	-389763615582
STPT(10)	1127460398200043261	0 2 6 8 48 50 90 92 96 98	-339833428158
SPT(16)	1127461286182959991	0 16 22 48 70 76 82 118 120 156 162 168 190 216 222 238	548149488572
SPT(16)	1127462093349774197	0 14 42 54 56 110 144 186 200 242 276 330 332 344 372 386	1355316302778
SPT(16)	1127462491564841219	0 30 60 98 182 204 222 294 338 410 428 450 534 572 602 632	1753531369800
SPT(16)	1127462641374624769	0 18 22 34 58 78 88 114 118 144 154 174 198 210 214 232	1903341153350
SPT(16)	1127463300404200741	0 10 60 78 88 106 126 186 202 262 282 300 310 328 378 388	2562370729322