Prime p₀= 1110032722412780711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 100 2 40 2 76 2 16 2 (?)
a_n: 0 2 30 32 96 98 198 200 240 242 318 320 336 338
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: 338
Found by: Theadalus
db: batch=76, k=14, 28 64 100 40 76 16

SPT(16)	1110031609580431661	0 6 8 32 48 60 156 158 270 272 368 380 396 420 422 428	-1112832349050
SPT(16)	1110031849180651921	0 6 28 72 76 90 102 142 156 196 208 222 226 270 292 298	-873232128790
STPT(10)	1110031849449799217	0 2 30 32 42 44 54 56 84 86	-872962981494
STPT(10)	1110031856240674847	0 2 30 32 42 44 54 56 84 86	-866172105864
SPT(16)	1110031931972408617	0 22 40 42 102 124 132 204 292 364 372 394 454 456 474 496	-790440372094
SPT(16)	1110032570476371331	0 6 60 196 216 228 256 286 312 342 370 382 402 538 592 598	-151936409380
SPT(16)	1110032920077294427	0 12 22 30 64 106 120 132 154 166 180 222 256 264 274 286	197664513716
STPT(10)	1110033355910185097	0 2 30 32 42 44 54 56 84 86	633497404386
SPT(16)	1110033673348752683	0 44 68 84 146 164 224 230 234 240 300 318 380 396 420 464	950935971972
SPT(16)	1110033681446230729	0 18 70 84 108 112 114 154 198 238 240 244 268 282 334 352	959033450018
TPT(14)	1110033915024679751	0 2 30 32 78 80 108 110 120 122 198 200 210 212	1192611899040