Prime p₀= 2355629898379743899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 40 2 34 2 58 2 22 2 (?)
a_n: 0 2 12 14 60 62 102 104 138 140 198 200 222 224
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: 224
Found by: Landjunge
db: batch=81, k=14, 10 46 40 34 58 22

SPT(16)	2355628654233223657	0 10 16 100 166 190 234 264 292 322 366 390 456 540 546 556	-1244146520242
SPT(16)	2355628807455171763	0 34 100 118 138 144 168 210 214 256 280 286 306 324 390 424	-1090924572136
STPT(10)	2355629043095342549	0 2 108 110 150 152 192 194 300 302	-855284401350
STPT(10)	2355629463546898829	0 2 12 14 90 92 168 170 180 182	-434832845070
SPT(18)	2355629555303109961	0 16 42 100 142 148 168 196 198 220 222 250 270 276 318 376 402 418	-343076633938
TPT(14)	2355629697299900141	0 2 96 98 108 110 126 128 150 152 240 242 378 380	-201079843758
SPT(16)	2355630861998093453	0 44 48 140 170 174 198 210 218 230 254 258 288 380 384 428	963618349554
STPT(10)	2355631030909629827	0 2 54 56 72 74 90 92 144 146	1132529885928
SPT(16)	2355631188137807341	0 40 72 88 126 142 186 220 258 292 336 352 390 406 438 478	1289758063442
STPT(12)	2355631197735548207	0 2 12 14 54 56 60 62 102 104 114 116	1299355804308
STPT(10)	2355631415902159667	0 2 30 32 42 44 54 56 84 86	1517522415768