Prime p₀= 2779871984778375581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 100 2 28 2 106 2 28 2 16 2 (?)
a_n: 0 2 48 50 150 152 180 182 288 290 318 320 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 46 100 28 106 28 16

STPT(10)	2779870347296747357	0 2 42 44 102 104 162 164 204 206	-1637481628224
SPT(16)	2779871066896568531	0 8 18 56 68 102 150 162 266 278 326 360 372 410 420 428	-917881807050
SPT(16)	2779871392329570493	0 30 36 58 64 94 96 120 184 208 210 240 246 268 274 304	-592448805088
SPT(16)	2779871672520107311	0 6 16 82 90 138 160 208 210 258 280 328 336 402 412 418	-312258268270
TPT(14)	2779871792325238151	0 2 6 8 30 32 48 50 90 92 168 170 186 188	-192453137430
STPT(10)	2779871912282196617	0 2 54 56 72 74 90 92 144 146	-72496178964
TPT(14)	2779872336746610731	0 2 6 8 36 38 90 92 300 302 390 392 468 470	351968235150
SPT(16)	2779872455373327961	0 40 70 138 142 220 232 268 330 366 378 456 460 528 558 598	470594952380
SPT(16)	2779872475230838489	0 64 78 84 108 112 144 154 168 178 210 214 238 244 258 322	490452462908
TPT(14)	2779872563803882199	0 2 30 32 48 50 72 74 198 200 240 242 312 314	579025506618
SPT(16)	2779872676679960567	0 24 44 62 80 84 114 182 264 332 362 366 384 402 422 446	691901584986