Prime p₀= 1044673147407830357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 130 2 46 2 40 2 34 2 10 2 (?)
a_n: 0 2 42 44 174 176 222 224 264 266 300 302 312 314
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: 314
Found by: HenkM
db: batch=76, k=14, 40 130 46 40 34 10

STPT(10)	1044672424850984777	0 2 12 14 42 44 72 74 84 86	-722556845580
STPT(10)	1044672475101027077	0 2 30 32 42 44 54 56 84 86	-672306803280
SPT(16)	1044672819757772657	0 56 72 140 170 182 210 240 242 272 300 312 342 410 426 482	-327650057700
SPT(16)	1044672857576050519	0 42 90 94 120 138 148 174 238 264 274 292 318 322 370 412	-289831779838
SPT(16)	1044672859462792829	0 12 20 42 48 68 140 222 308 390 462 482 488 510 518 530	-287945037528
SPT(16)	1044673023506443127	0 20 32 102 114 140 146 156 170 180 186 212 224 294 306 326	-123901387230
STPT(10)	1044673244516177369	0 2 18 20 30 32 42 44 60 62	97108347012
STPT(10)	1044673708969979507	0 2 42 44 72 74 102 104 144 146	561562149150
SPT(16)	1044673802033332873	0 6 114 120 138 154 166 174 190 198 210 226 244 250 358 364	654625502516
SPT(16)	1044673845396865477	0 16 54 70 84 120 156 184 222 250 286 322 336 352 390 406	697989035120
STPT(10)	1044673861299649421	0 2 36 38 78 80 120 122 156 158	713891819064