Prime p₀= 1740081493339905431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 70 2 10 2 28 2 16 2 28 2 (?)
a_n: 0 2 126 128 198 200 210 212 240 242 258 260 288 290
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: 290
Found by: CoolAtchOk
db: batch=79, k=14, 124 70 10 28 16 28

SPT(16)	1740080732909442449	0 38 44 54 78 80 84 120 242 278 282 284 308 318 324 362	-760430462982
STPT(10)	1740080826764591417	0 2 12 14 42 44 72 74 84 86	-666575314014
SPT(16)	1740081077473733327	0 2 6 26 50 72 90 120 146 176 194 216 240 260 264 266	-415866172104
STPT(10)	1740081102840927797	0 2 30 32 42 44 54 56 84 86	-390498977634
SPT(16)	1740081288359219341	0 46 48 70 78 118 126 162 196 232 240 280 288 310 312 358	-204980686090
SPT(16)	1740081310663470833	0 18 60 80 86 126 128 218 276 366 368 408 414 434 476 494	-182676434598
STPT(10)	1740081623300059979	0 2 42 44 60 62 78 80 120 122	129960154548
SPT(16)	1740082215098779319	0 50 62 78 110 122 152 204 488 540 570 582 614 630 642 692	721758873888
SPT(16)	1740082388856897451	0 6 18 28 36 42 46 70 108 132 136 142 150 160 172 178	895516992020
SPT(16)	1740082521159576947	0 6 12 20 26 42 80 86 300 306 344 360 366 374 380 386	1027819671516
SPT(16)	1740082625604598901	0 20 30 66 72 98 108 140 198 230 240 266 272 308 318 338	1132264693470