Prime p₀= 2332251917566383011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 70 2 58 2 40 2 118 2 58 2 (?)
a_n: 0 2 36 38 108 110 168 170 210 212 330 332 390 392
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: 392
Found by: Landjunge
db: batch=81, k=14, 34 70 58 40 118 58

SPT(16)	2332249860812825453	0 30 66 86 96 128 156 188 198 230 258 290 300 320 356 386	-2056753557558
SPT(16)	2332250084600957093	0 74 104 144 206 210 276 314 360 398 464 468 530 570 600 674	-1832965425918
SPT(16)	2332250104304809081	0 18 40 46 60 72 96 120 148 172 196 208 222 228 250 268	-1813261573930
STPT(10)	2332250793488468051	0 2 78 80 108 110 138 140 216 218	-1124077914960
SPT(16)	2332250815544979331	0 10 18 28 52 72 78 88 132 142 148 168 192 202 210 220	-1102021403680
SPT(16)	2332251822663226463	0 60 114 126 146 156 198 230 264 296 338 348 368 380 434 494	-94903156548
SPT(16)	2332252364865808927	0 40 66 84 114 120 192 226 300 334 406 412 442 460 486 526	447299425916
SPT(16)	2332252586780138369	0 8 32 42 48 68 102 110 120 128 162 182 188 198 222 230	669213755358
STPT(10)	2332252961159830517	0 2 30 32 42 44 54 56 84 86	1043593447506
STPT(10)	2332252992094160699	0 2 48 50 90 92 132 134 180 182	1074527777688
STPT(10)	2332253638943641031	0 2 48 50 108 110 168 170 216 218	1721377258020