Prime p₀= 3091611220957084247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 22 2 64 2 28 2 262 2 28 2 (?)
a_n: 0 2 120 122 144 146 210 212 240 242 504 506 534 536
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: 536
Found by: PhilTheNet
db: batch=83, k=14, 118 22 64 28 262 28

SPT(16)	3091609871638485019	0 12 54 60 64 70 72 78 124 130 132 138 142 148 190 202	-1349318599228
STPT(10)	3091609944445462379	0 2 42 44 60 62 78 80 120 122	-1276511621868
SPT(16)	3091609991161272761	0 12 20 48 50 140 152 188 222 258 270 360 362 390 398 410	-1229795811486
TPT(14)	3091610240048902217	0 2 60 62 90 92 174 176 240 242 270 272 324 326	-980908182030
STPT(10)	3091610757499971137	0 2 54 56 72 74 90 92 144 146	-463457113110
SPT(18)	3091610970953342507	0 42 54 66 92 104 120 126 146 180 200 206 222 234 260 272 284 326	-250003741740
SPT(16)	3091611726003504439	0 40 52 54 82 88 130 154 168 192 234 240 268 270 282 322	505046420192
STPT(10)	3091611901622391419	0 2 18 20 30 32 42 44 60 62	680665307172
STPT(10)	3091612534277539817	0 2 30 32 42 44 54 56 84 86	1313320455570
STPT(10)	3091612622252684597	0 2 12 14 42 44 72 74 84 86	1401295600350
SPT(16)	3091612730943969109	0 28 54 78 124 174 180 184 348 352 358 408 454 478 504 532	1509986884862