Prime p₀= 1510707204651772007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 130 2 34 2 10 2 28 2 (?)
a_n: 0 2 24 26 102 104 234 236 270 272 282 284 312 314
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: 314
Found by: xii5ku
db: batch=78, k=14, 22 76 130 34 10 28

SPT(16)	1510706330844665737	0 4 6 24 40 66 72 90 136 154 160 186 202 220 222 226	-873807106270
TPT(14)	1510706522111015609	0 2 18 20 78 80 90 92 120 122 132 134 162 164	-682540756398
STPT(10)	1510706598638155337	0 2 12 14 42 44 72 74 84 86	-606013616670
SPT(16)	1510706725725241417	0 70 126 136 154 156 162 196 240 274 280 282 300 310 366 436	-478926530590
STPT(10)	1510707024116806301	0 2 30 32 60 62 90 92 120 122	-180534965706
TPT(14)	1510707194949832169	0 2 78 80 90 92 132 134 252 254 300 302 342 344	-9701939838
SPT(16)	1510707472885165889	0 38 110 132 138 152 162 192 218 248 258 272 278 300 372 410	268233393882
SPT(16)	1510707571216082881	0 46 52 76 102 108 120 168 340 388 400 406 432 456 462 508	366564310874
SPT(16)	1510707885890272777	0 36 42 120 154 184 234 246 340 352 402 432 466 544 550 586	681238500770
SPT(16)	1510709107779312599	0 12 14 104 138 162 168 212 270 314 320 344 378 468 470 482	1903127540592
SPT(16)	1510709916277995887	0 6 12 104 116 122 152 192 314 354 384 390 402 494 500 506	2711626223880