Prime p₀= 2738936270989455881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 40 2 10 2 16 2 88 2 28 2 (?)
a_n: 0 2 126 128 168 170 180 182 198 200 288 290 318 320
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: 320
Found by: Roadranner
db: batch=82, k=14, 124 40 10 16 88 28

SPT(16)	2738934849132619493	0 6 26 30 74 110 126 140 144 158 174 210 254 258 278 284	-1421856836388
SPT(16)	2738935053465802837	0 24 60 64 94 100 142 150 154 162 204 210 240 244 280 304	-1217523653044
STPT(10)	2738935438020268211	0 2 6 8 48 50 90 92 96 98	-832969187670
SPT(16)	2738935755663820451	0 32 48 92 126 156 186 200 228 242 272 302 336 380 396 428	-515325635430
SPT(16)	2738936037458619077	0 14 30 84 104 114 126 140 150 164 176 186 206 260 276 290	-233530836804
STPT(10)	2738936223183782231	0 2 30 32 78 80 126 128 156 158	-47805673650
STPT(10)	2738937382152223919	0 2 18 20 60 62 102 104 120 122	1111162768038
TPT(14)	2738937427356985091	0 2 96 98 210 212 276 278 306 308 378 380 396 398	1156367529210
SPT(16)	2738937467678586617	0 2 14 50 56 102 146 170 216 240 284 330 336 372 384 386	1196689130736
SPT(16)	2738937962464342273	0 18 24 60 64 94 126 150 274 298 330 360 364 400 406 424	1691474886392
SPT(16)	2738938174394576729	0 12 18 42 68 78 98 110 210 222 242 252 278 302 308 320	1903405120848