Prime p₀= 2810504616158542727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 16 2 22 2 16 2 (?)
a_n: 0 2 12 14 30 32 72 74 90 92 114 116 132 134
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: 134
Found by: [SG-FC] hl
db: batch=82, k=14, 10 16 40 16 22 16

SPT(16)	2810502758715003623	0 6 8 18 24 50 84 90 194 200 234 260 266 276 278 284	-1857443539104
SPT(16)	2810502989105384731	0 12 28 70 78 112 120 126 142 148 156 190 198 240 256 268	-1627053157996
STPT(10)	2810503285363825691	0 2 6 8 48 50 90 92 96 98	-1330794717036
TPT(14)	2810503952328850187	0 2 42 44 60 62 102 104 114 116 144 146 180 182	-663829692540
STPT(10)	2810504375441117357	0 2 30 32 60 62 90 92 120 122	-240717425370
SPT(16)	2810504425950828521	0 32 48 50 90 92 110 116 162 168 186 188 228 230 246 278	-190207714206
SPT(16)	2810504874539367931	0 28 46 78 102 160 168 210 238 280 288 346 370 402 420 448	258380825204
SPT(18)	2810505351819018901	0 12 36 102 106 112 166 172 222 286 336 342 396 402 406 472 496 508	735660476174
SPT(16)	2810505589238361493	0 30 40 48 84 90 108 168 190 250 268 274 310 318 328 358	973079818766
STPT(10)	2810505923629114619	0 2 18 20 30 32 42 44 60 62	1307470571892
SPT(16)	2810506092917552923	0 4 34 36 126 154 160 208 216 264 270 298 388 390 420 424	1476759010196