Prime p₀= 2098971263953064819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 22 2 34 2 22 2 28 2 (?)
a_n: 0 2 90 92 108 110 132 134 168 170 192 194 222 224
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: 224
Found by: Landjunge
db: batch=80, k=14, 88 16 22 34 22 28

SPT(16)	2098969854029600701	0 10 42 52 78 100 102 108 112 118 120 142 168 178 210 220	-1409923464118
STPT(10)	2098970090720966777	0 2 30 32 42 44 54 56 84 86	-1173232098042
SPT(16)	2098970173138659133	0 18 40 48 60 70 148 154 180 186 264 274 286 294 316 334	-1090814405686
SPT(16)	2098970826611403931	0 46 70 88 90 96 138 168 208 238 280 286 288 306 330 376	-437341660888
SPT(16)	2098970866693228117	0 6 30 46 72 76 90 150 262 322 336 340 366 382 406 412	-397259836702
STPT(10)	2098971192399021971	0 2 30 32 60 62 90 92 120 122	-71554042848
SPT(16)	2098971363771259331	0 6 8 30 32 98 182 200 228 246 330 396 398 420 422 428	99818194512
STPT(10)	2098971606549038327	0 2 30 32 42 44 54 56 84 86	342595973508
SPT(16)	2098971613544705087	0 6 12 30 110 122 156 174 272 290 324 336 416 434 440 446	349591640268
STPT(10)	2098971688062142511	0 2 36 38 78 80 120 122 156 158	424109077692
SPT(16)	2098971717500230861	0 12 16 22 70 82 96 112 156 172 186 198 246 252 256 268	453547166042