Prime p₀= 3298272350952059669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 94 2 40 2 16 2 10 2 58 2 (?)
a_n: 0 2 42 44 138 140 180 182 198 200 210 212 270 272
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: 272
Found by: Penguin
db: batch=83, k=14, 40 94 40 16 10 58

SPT(16)	3298270913004014063	0 8 18 30 44 54 84 114 200 230 260 270 284 296 306 314	-1437948045606
SPT(16)	3298271151359374529	0 8 20 42 48 62 84 98 114 128 150 164 170 192 204 212	-1199592685140
STPT(10)	3298271534062290911	0 2 30 32 168 170 306 308 336 338	-816889768758
SPT(16)	3298271990205027469	0 18 22 40 112 124 138 174 238 274 288 300 372 390 394 412	-360747032200
SPT(16)	3298272005334130841	0 8 30 56 90 102 188 200 228 240 326 338 372 398 420 428	-345617928828
SPT(16)	3298272305850120439	0 40 102 130 168 180 214 220 282 288 322 334 372 400 462 502	-45101939230
SPT(16)	3298272748676899001	0 2 30 42 50 66 126 152 210 236 296 312 320 332 360 362	397724839332
STPT(10)	3298273062726149489	0 2 18 20 60 62 102 104 120 122	711774089820
STPT(10)	3298273218685984337	0 2 30 32 42 44 54 56 84 86	867733924668
STPT(10)	3298273477003575491	0 2 36 38 78 80 120 122 156 158	1126051515822
SPT(16)	3298273724440481723	0 14 30 68 114 126 146 150 254 258 278 290 336 374 390 404	1373488422054