Prime p₀= 2162068377416224631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 28 2 10 2 10 2 46 2 (?)
a_n: 0 2 126 128 156 158 186 188 198 200 210 212 258 260
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: 260
Found by: Landjunge
db: batch=81, k=14, 124 28 28 10 10 46

SPT(16)	2162066677195508983	0 40 58 118 120 130 180 186 268 274 324 334 336 396 414 454	-1700220715648
STPT(10)	2162067074439359039	0 2 30 32 120 122 210 212 240 242	-1302976865592
STPT(10)	2162067179227564067	0 2 30 32 42 44 54 56 84 86	-1198188660564
SPT(16)	2162067454307942969	0 2 12 78 134 140 162 210 272 320 342 348 404 470 480 482	-923108281662
SPT(16)	2162067469585573351	0 18 58 76 132 208 222 250 258 286 300 376 432 450 490 508	-907830651280
SPT(16)	2162067474443844139	0 60 90 130 132 142 160 162 208 210 228 238 240 280 310 370	-902972380492
SPT(16)	2162068395763126127	0 14 30 56 62 104 114 176 180 242 252 294 300 326 342 356	18346901496
STPT(10)	2162068466400554027	0 2 30 32 42 44 54 56 84 86	88984329396
SPT(16)	2162068653505487281	0 10 22 36 78 106 142 148 150 156 192 220 262 276 288 298	276089262650
STPT(10)	2162068754504019419	0 2 42 44 60 62 78 80 120 122	377087794788
SPT(16)	2162068806048683659	0 18 28 52 54 64 84 124 168 208 228 238 240 264 274 292	428632459028