Prime p₀= 2779876002499197671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 46 2 40 2 58 2 16 2 160 2 (?)
a_n: 0 2 18 20 66 68 108 110 168 170 186 188 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 16 46 40 58 16 160

SPT(16)	2779875204073157503	0 40 54 60 96 130 144 166 174 196 210 244 280 286 300 340	-798426040168
STPT(10)	2779875435602549069	0 2 30 32 60 62 90 92 120 122	-566896648602
STPT(10)	2779875456901888517	0 2 42 44 72 74 102 104 144 146	-545597309154
TPT(14)	2779875808232134121	0 2 66 68 336 338 420 422 438 440 486 488 558 560	-194267063550
SPT(16)	2779875814862113073	0 8 60 80 126 168 186 198 338 350 368 410 456 476 528 536	-187637084598
SPT(16)	2779875878297421229	0 18 42 60 102 120 160 198 214 252 292 310 352 370 394 412	-124201776442
SPT(16)	2779876238141543179	0 18 42 48 52 64 118 130 132 144 198 210 214 220 244 262	235642345508
SPT(16)	2779876560207656957	0 6 26 50 60 66 104 110 216 222 260 266 276 300 320 326	557708459286
TPT(14)	2779876870470511379	0 2 168 170 252 254 282 284 318 320 348 350 390 392	867971313708
STPT(10)	2779876913208577067	0 2 12 14 72 74 132 134 144 146	910709379396
SPT(16)	2779877007148185491	0 8 18 30 56 78 86 108 128 150 158 180 206 218 228 236	1004648987820