Prime p₀= 2402441909712691109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 70 2 76 2 16 2 22 2 (?)
a_n: 0 2 18 20 30 32 102 104 180 182 198 200 222 224
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: SEARCHER
db: batch=82, k=14, 16 10 70 76 16 22

STPT(10)	2402440382020584089	0 2 30 32 60 62 90 92 120 122	-1527692107020
SPT(16)	2402440454238915749	0 14 38 98 164 168 192 194 198 200 224 228 294 354 378 392	-1455473775360
STPT(10)	2402440641806665511	0 2 6 8 18 20 30 32 36 38	-1267906025598
SPT(16)	2402441125842465623	0 44 48 146 170 216 234 248 276 290 308 354 378 476 480 524	-783870225486
SPT(16)	2402441445625419677	0 12 30 42 120 152 164 204 212 252 264 296 374 386 404 416	-464087271432
STPT(10)	2402441766737273489	0 2 42 44 90 92 138 140 180 182	-142975417620
SPT(16)	2402441930472345133	0 10 28 30 66 106 130 168 256 294 318 358 394 396 414 424	20759654024
SPT(16)	2402442149435780581	0 16 42 76 96 120 150 160 198 208 238 262 282 316 342 358	239723089472
SPT(16)	2402442178029710651	0 8 50 132 162 170 182 230 240 288 300 308 338 420 462 470	268317019542
STPT(10)	2402442742769778617	0 2 30 32 42 44 54 56 84 86	833057087508
STPT(10)	2402443046354322689	0 2 48 50 90 92 132 134 180 182	1136641631580