Prime p₀= 3844634582272929539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 10 2 88 2 106 2 28 2 (?)
a_n: 0 2 12 14 78 80 90 92 180 182 288 290 318 320
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: 320
Found by: [AF] Kalianthys
db: batch=84, k=14, 10 64 10 88 106 28

TPT(14)	3844631824413408407	0 2 84 86 252 254 264 266 330 332 372 374 432 434	-2757859521132
SPT(16)	3844632563771936171	0 20 26 42 68 78 98 138 140 180 200 210 236 252 258 278	-2018500993368
SPT(16)	3844633785150599839	0 30 94 124 160 178 184 234 244 294 300 318 354 384 448 478	-797122329700
SPT(16)	3844634189140592443	0 60 94 126 150 156 168 186 238 256 268 274 298 330 364 424	-393132337096
SPT(16)	3844634392369533559	0 4 24 30 102 124 132 150 202 220 228 250 322 328 348 352	-189903395980
STPT(10)	3844634459033315567	0 2 42 44 72 74 102 104 144 146	-123239613972
STPT(10)	3844634676552372299	0 2 18 20 60 62 102 104 120 122	94279442760
SPT(16)	3844635268218022867	0 12 24 40 52 84 96 136 270 310 322 354 366 382 394 406	685945093328
SPT(16)	3844635375607103027	0 30 32 60 74 114 126 156 200 230 242 282 296 324 326 356	793334173488
SPT(16)	3844635481000125611	0 48 62 72 78 92 108 122 126 140 156 170 176 186 200 248	898727196072
SPT(16)	3844635515616263377	0 6 22 36 70 162 192 202 330 340 370 462 496 510 526 532	933343333838