Prime p₀= 2569994409431507297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 28 2 22 2 208 2 28 2 16 2 (?)
a_n: 0 2 150 152 180 182 204 206 414 416 444 446 462 464
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: 464
Found by: Jeff17
db: batch=82, k=14, 148 28 22 208 28 16

STPT(10)	2569993188604511741	0 2 30 32 78 80 126 128 156 158	-1220826995556
SPT(16)	2569993202965532041	0 12 18 22 36 42 78 90 208 220 256 262 276 280 286 298	-1206465975256
STPT(10)	2569994160262985549	0 2 18 20 30 32 42 44 60 62	-249168521748
SPT(18)	2569994213187622531	0 10 52 76 112 120 142 150 190 198 238 246 268 276 312 336 378 388	-196243884766
SPT(16)	2569994262634739393	0 36 98 134 146 164 200 224 270 294 330 348 360 396 458 494	-146796767904
SPT(16)	2569994331225641269	0 4 48 60 118 132 160 174 208 222 250 264 322 334 378 382	-78205866028
STPT(10)	2569994419682147327	0 2 72 74 102 104 132 134 204 206	10250640030
SPT(16)	2569994464318980953	0 14 24 48 74 126 146 176 198 228 248 300 326 350 360 374	54887473656
SPT(16)	2569994748713808901	0 46 90 108 150 168 172 192 196 216 220 238 280 298 342 388	339282301604
SPT(18)	2569994850610527589	0 22 60 88 90 132 148 160 174 238 252 264 280 322 324 352 390 412	441179020292
STPT(10)	2569995769989882977	0 2 30 32 42 44 54 56 84 86	1360558375680