Prime p₀= 2538217509977873609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 46 2 40 2 94 2 (?)
a_n: 0 2 18 20 30 32 42 44 90 92 132 134 228 230
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: 230
Found by: [SG-FC] hl
db: batch=82, k=14, 16 10 10 46 40 94

SPT(16)	2538216156673157791	0 6 12 28 42 90 108 136 162 190 208 256 270 286 292 298	-1353304715818
STPT(10)	2538216413933051219	0 2 18 20 30 32 42 44 60 62	-1096044822390
SPT(16)	2538216799724972581	0 12 48 52 76 96 120 130 168 178 202 222 246 250 286 298	-710252901028
SPT(16)	2538216957673869161	0 6 32 50 96 126 140 176 186 222 236 266 312 330 356 362	-552304004448
SPT(16)	2538217447184708717	0 30 44 80 96 182 192 212 264 284 294 380 396 432 446 476	-62793164892
SPT(16)	2538217499400041047	0 12 40 72 150 220 240 250 264 274 294 364 442 474 502 514	-10577832562
STPT(10)	2538217644636288257	0 2 24 26 42 44 60 62 84 86	134658414648
SPT(16)	2538217954736675929	0 18 28 58 100 154 160 174 238 252 258 312 354 384 394 412	444758802320
SPT(16)	2538218086379777957	0 2 84 126 194 254 282 302 354 374 402 462 530 572 654 656	576401904348
SPT(16)	2538218406266198639	0 20 42 48 60 62 120 132 188 200 258 260 272 278 300 320	896288325030
SPT(16)	2538218535476703727	0 22 60 82 174 246 280 334 372 426 460 532 624 646 684 706	1025498830118