Prime p₀= 2677215238620095219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 238 2 136 2 16 2 52 2 94 2 (?)
a_n: 0 2 12 14 252 254 390 392 408 410 462 464 558 560
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: 560
Found by: JayPi
db: batch=82, k=14, 10 238 136 16 52 94

STPT(12)	2677214561264190917	0 2 30 32 54 56 90 92 114 116 144 146	-677355904302
SPT(16)	2677214644946122273	0 16 28 70 114 124 154 160 174 180 210 220 264 306 318 334	-593673972946
SPT(16)	2677214740131234943	0 40 48 78 124 160 168 190 264 286 294 330 376 406 414 454	-498488860276
STPT(10)	2677214885503765331	0 2 6 8 48 50 90 92 96 98	-353116329888
SPT(16)	2677214893562415497	0 56 74 92 104 132 146 156 200 210 224 252 264 282 300 356	-345057679722
STPT(10)	2677215168932047229	0 2 12 14 90 92 168 170 180 182	-69688047990
SPT(16)	2677215311174367239	0 2 30 80 90 132 170 182 288 300 338 380 390 440 468 470	72554272020
TPT(14)	2677215441880686977	0 2 72 74 240 242 270 272 282 284 342 344 420 422	203260591758
TPT(14)	2677215973373781479	0 2 12 14 90 92 132 134 162 164 168 170 288 290	734753686260
SPT(16)	2677216630001815787	0 2 14 36 72 90 110 114 152 156 176 194 230 252 264 266	1391381720568
SPT(16)	2677217270812876391	0 12 36 56 78 110 132 138 140 146 168 200 222 242 266 278	2032192781172