Prime p₀= 1377422795476268267 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 76 2 10 2 16 2 28 2 28 2 (?)
a_n: 0 2 102 104 180 182 192 194 210 212 240 242 270 272
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: 272
Found by: Theadalus
db: batch=77, k=14, 100 76 10 16 28 28

SPT(16)	1377421641167682949	0 10 40 60 130 210 220 234 244 258 268 348 418 438 468 478	-1154308585318
SPT(16)	1377421905289471837	0 52 54 70 76 82 94 96 160 162 174 180 186 202 204 256	-890186796430
SPT(16)	1377421978922402299	0 12 24 42 102 108 148 154 228 234 274 280 340 358 370 382	-816553865968
STPT(10)	1377422313549777497	0 2 30 32 72 74 114 116 144 146	-481926490770
TPT(14)	1377422692914193571	0 2 60 62 90 92 126 128 198 200 216 218 228 230	-102562074696
SPT(16)	1377422730564890813	0 18 20 44 56 60 114 116 168 170 224 228 240 264 266 284	-64911377454
SPT(16)	1377423035274264413	0 44 84 86 120 134 144 186 218 260 270 284 318 320 360 404	239797996146
STPT(10)	1377423479011576109	0 2 42 44 120 122 198 200 240 242	683535307842
SPT(16)	1377423647504008439	0 14 20 54 90 108 122 132 230 240 254 272 308 342 348 362	852027740172
SPT(16)	1377423752377412851	0 40 60 160 166 238 258 280 366 388 408 480 486 586 606 646	956901144584
STPT(10)	1377423905165663879	0 2 18 20 30 32 42 44 60 62	1109689395612