Prime p₀= 1096972505559938717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 4 2 202 2 46 2 28 2 (?)
a_n: 0 2 54 56 84 86 90 92 294 296 342 344 372 374
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: 374
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 52 28 4 202 46 28

SPT(16)	1096971083812643671	0 46 66 100 102 106 108 178 210 280 282 286 288 322 342 388	-1421747295046
STPT(10)	1096971155511599939	0 2 18 20 30 32 42 44 60 62	-1350048338778
SPT(16)	1096971632881704199	0 28 58 60 120 124 144 154 174 184 204 208 268 270 300 328	-872678234518
SPT(16)	1096972182513451183	0 4 16 36 58 88 144 148 366 370 426 456 478 498 510 514	-323046487534
SPT(16)	1096972315596150659	0 8 32 42 44 102 122 150 212 240 260 318 320 330 354 362	-189963788058
STPT(10)	1096972428939367829	0 2 30 32 60 62 90 92 120 122	-76620570888
STPT(10)	1096972509952243679	0 2 18 20 30 32 42 44 60 62	4392304962
SPT(16)	1096972632024428909	0 2 18 32 72 78 92 128 192 228 242 248 288 302 318 320	126464490192
STPT(10)	1096973078274560087	0 2 30 32 42 44 54 56 84 86	572714621370
SPT(16)	1096973648232850291	0 36 40 100 102 142 166 172 180 186 210 250 252 312 316 352	1142672911574
SPT(16)	1096973732495444147	0 24 50 80 84 102 114 126 200 212 224 242 246 276 302 326	1226935505430