Prime p₀= 2509174710575066951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 118 2 40 2 34 2 52 2 4 2 (?)
a_n: 0 2 138 140 258 260 300 302 336 338 390 392 396 398
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: 398
Found by: Arkhenia
db: batch=82, k=14, 136 118 40 34 52 4

SPT(16)	2509172786376570997	0 22 70 82 106 154 166 172 204 210 222 270 294 306 354 376	-1924198495954
SPT(16)	2509173055566884381	0 30 48 98 110 140 162 212 258 308 330 360 372 422 440 470	-1655008182570
SPT(16)	2509173291652813211	0 6 18 26 30 32 48 72 86 110 126 128 132 140 152 158	-1418922253740
STPT(10)	2509173405656184539	0 2 18 20 30 32 42 44 60 62	-1304918882412
STPT(10)	2509174217019134219	0 2 42 44 60 62 78 80 120 122	-493555932732
SPT(16)	2509174342629064421	0 2 20 26 50 72 86 152 240 306 320 342 366 372 390 392	-367946002530
STPT(12)	2509175157261028469	0 2 12 14 42 44 48 50 78 80 90 92	446685961518
SPT(16)	2509175336815786427	0 24 90 110 144 162 174 180 314 320 332 350 384 404 470 494	626240719476
SPT(16)	2509175398140443569	0 4 12 28 54 60 94 118 144 168 202 208 234 250 258 262	687565376618
STPT(10)	2509175878352055959	0 2 48 50 90 92 132 134 180 182	1167776989008
STPT(10)	2509176002339090597	0 2 60 62 102 104 144 146 204 206	1291764023646