Prime p₀= 2498091967285160261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 16 2 22 2 34 2 40 2 (?)
a_n: 0 2 66 68 78 80 96 98 120 122 156 158 198 200
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: [SG-FC] hl
db: batch=82, k=14, 64 10 16 22 34 40

SPT(16)	2498089838062008703	0 10 16 28 58 60 66 84 130 148 154 156 186 198 204 214	-2129223151558
SPT(16)	2498090377524418949	0 48 72 108 132 158 180 192 230 242 264 290 314 350 374 422	-1589760741312
STPT(10)	2498090931972946361	0 2 6 8 18 20 30 32 36 38	-1035312213900
STPT(10)	2498090989639138601	0 2 36 38 78 80 120 122 156 158	-977646021660
STPT(10)	2498091091554132131	0 2 30 32 78 80 126 128 156 158	-875731028130
SPT(16)	2498091311490511571	0 60 86 126 128 150 156 158 168 170 176 198 200 240 266 326	-655794648690
STPT(10)	2498092008914398409	0 2 42 44 60 62 78 80 120 122	41629238148
TPT(14)	2498092046388891011	0 2 36 38 48 50 66 68 96 98 120 122 138 140	79103730750
SPT(16)	2498092448030803829	0 2 32 38 62 98 108 122 150 164 174 210 234 240 270 272	480745643568
SPT(16)	2498093009443258751	0 6 56 108 132 138 186 188 270 272 320 326 350 402 452 458	1042158098490
SPT(16)	2498093099637264169	0 40 78 112 132 160 190 210 250 270 300 328 348 382 420 460	1132352103908