Prime p₀= 2162815360646419709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 124 2 52 2 4 2 52 2 (?)
a_n: 0 2 18 20 42 44 168 170 222 224 228 230 282 284
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: 284
Found by: Landjunge
db: batch=81, k=14, 16 22 124 52 4 52

SPT(16)	2162814466360398413	0 36 50 68 98 104 156 188 246 278 330 336 366 384 398 434	-894286021296
SPT(16)	2162814527945953093	0 18 24 46 64 66 94 154 210 270 298 300 318 340 346 364	-832700466616
SPT(16)	2162814544282065617	0 6 42 60 62 66 72 102 194 224 230 234 236 254 290 296	-816364354092
SPT(16)	2162814582574455269	0 12 38 78 80 120 122 132 140 150 152 192 194 234 260 272	-778071964440
SPT(16)	2162814643198896157	0 22 30 106 136 142 150 186 280 316 324 330 360 436 444 466	-717447523552
SPT(18)	2162814648149664539	0 30 38 50 90 92 108 120 132 158 170 182 198 200 240 252 260 290	-712496755170
SPT(16)	2162816964841398049	0 34 70 108 114 142 174 198 214 238 270 298 304 342 378 412	1604194978340
STPT(10)	2162817035704540487	0 2 30 32 42 44 54 56 84 86	1675058120778
SPT(16)	2162817099700348027	0 4 54 76 82 132 184 192 244 252 304 354 360 382 432 436	1739053928318
STPT(10)	2162817111716574527	0 2 30 32 42 44 54 56 84 86	1751070154818
SPT(16)	2162817344775289331	0 2 6 8 48 62 72 150 188 266 276 290 330 332 336 338	1984128869622