Prime p₀= 4364278925585731001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 10 2 46 2 10 2 166 2 40 2 (?)
a_n: 0 2 108 110 120 122 168 170 180 182 348 350 390 392
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: 392
Found by: Arkhenia
db: batch=85, k=14, 106 10 46 10 166 40

SPT(16)	4364277248447966903	0 6 18 30 86 96 110 138 176 204 218 228 284 296 308 314	-1677137764098
STPT(10)	4364277417611914457	0 2 54 56 72 74 90 92 144 146	-1507973816544
SPT(16)	4364277683068533547	0 10 22 66 72 76 100 160 192 252 276 280 286 330 342 352	-1242517197454
SPT(16)	4364278565395970443	0 24 28 46 48 78 106 148 216 258 286 316 318 336 340 364	-360189760558
STPT(10)	4364278676670356921	0 2 36 38 78 80 120 122 156 158	-248915374080
SPT(16)	4364278831830361201	0 10 18 30 58 88 108 150 196 238 258 288 316 328 336 346	-93755369800
STPT(10)	4364279096431959977	0 2 30 32 42 44 54 56 84 86	170846228976
STPT(10)	4364279136032298311	0 2 6 8 48 50 90 92 96 98	210446567310
SPT(16)	4364279171422615603	0 16 30 48 60 70 90 120 196 226 246 256 268 286 300 316	245836884602
STPT(10)	4364279249485281827	0 2 30 32 42 44 54 56 84 86	323899550826
SPT(16)	4364279568044661059	0 2 14 44 48 158 170 230 252 312 324 434 438 468 480 482	642458930058