Prime p₀= 2656287631291271819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 82 2 106 2 28 2 10 2 (?)
a_n: 0 2 30 32 48 50 132 134 240 242 270 272 282 284
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: 284
Found by: conf [MM]
db: batch=82, k=14, 28 16 82 106 28 10

SPT(16)	2656286097809909087	0 6 42 96 132 134 152 176 180 204 222 224 260 314 350 356	-1533481362732
SPT(16)	2656286381206452721	0 28 82 102 130 138 160 178 210 228 250 258 286 306 360 388	-1250084819098
SPT(16)	2656286572993960549	0 30 34 70 90 102 130 144 208 222 250 262 282 318 322 352	-1058297311270
SPT(13)	2656286713340511791	0 36 66 78 168 210 228 246 288 378 390 420 456	-917950760028
STPT(10)	2656286930987243969	0 2 48 50 60 62 72 74 120 122	-700304027850
SPT(16)	2656287521995775531	0 26 30 80 86 132 180 210 218 248 296 342 348 398 402 428	-109295496288
STPT(10)	2656287961304730407	0 2 30 32 72 74 114 116 144 146	330013458588
SPT(16)	2656288092356717101	0 10 40 72 76 132 138 178 180 220 226 282 286 318 348 358	461065445282
SPT(16)	2656288584234067187	0 6 20 30 44 114 182 254 312 384 452 522 536 546 560 566	952942795368
SPT(16)	2656289117691159553	0 10 78 144 180 204 220 238 306 324 340 364 400 466 534 544	1486399887734
SPT(16)	2656289194727178251	0 26 38 80 96 156 168 198 440 470 482 542 558 600 612 638	1563435906432