Prime p₀= 1144623007189992509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 148 2 28 2 124 2 28 2 (?)
a_n: 0 2 18 20 102 104 252 254 282 284 408 410 438 440
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: 440
Found by: Theadalus
db: batch=76, k=14, 16 82 148 28 124 28

STPT(10)	1144620324483664079	0 2 18 20 60 62 102 104 120 122	-2682706328430
TPT(14)	1144620839617030817	0 2 30 32 54 56 192 194 240 242 252 254 294 296	-2167572961692
SPT(16)	1144621655406206129	0 14 32 42 98 150 164 174 218 228 242 294 350 360 378 392	-1351783786380
SPT(16)	1144622061198234013	0 10 40 48 76 90 106 124 150 168 184 198 226 234 264 274	-945991758496
SPT(16)	1144622675038703479	0 10 54 72 154 160 222 234 310 322 384 390 472 490 534 544	-332151289030
SPT(16)	1144622847909535073	0 36 78 104 144 150 164 176 198 210 224 230 270 296 338 374	-159280457436
SPT(16)	1144623124853336719	0 34 48 64 132 178 184 220 222 258 264 310 378 394 408 442	117663344210
STPT(10)	1144623456942541097	0 2 30 32 42 44 54 56 84 86	449752548588
STPT(10)	1144623632281889819	0 2 42 44 90 92 138 140 180 182	625091897310
STPT(10)	1144623755396477561	0 2 6 8 18 20 30 32 36 38	748206485052
SPT(16)	1144623761934490307	0 42 56 116 150 156 182 240 296 354 380 386 420 480 494 536	754744497798