Prime p₀= 2622868922109217757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 46 2 196 2 40 2 16 2 160 2 (?)
a_n: 0 2 84 86 132 134 330 332 372 374 390 392 552 554
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: 554
Found by: JayPi
db: batch=82, k=14, 82 46 196 40 16 160

STPT(10)	2622867847867030109	0 2 12 14 150 152 288 290 300 302	-1074242187648
SPT(18)	2622867981929023397	0 24 32 60 84 144 150 164 186 230 252 266 272 332 356 384 392 416	-940180194360
SPT(16)	2622868478550038293	0 16 40 60 130 138 186 190 204 208 256 264 334 354 378 394	-443559179464
STPT(10)	2622868723930125941	0 2 6 8 48 50 90 92 96 98	-198179091816
STPT(10)	2622868785205568297	0 2 30 32 72 74 114 116 144 146	-136903649460
SPT(16)	2622868905445268369	0 8 18 44 92 102 158 168 194 204 260 270 318 344 354 362	-16663949388
STPT(12)	2622869097021423539	0 2 18 20 42 44 78 80 102 104 120 122	174912205782
STPT(10)	2622869138716949999	0 2 30 32 60 62 90 92 120 122	216607732242
SPT(16)	2622869146832946313	0 30 100 108 120 126 130 168 208 246 250 256 268 276 346 376	224723728556
SPT(16)	2622869353155540661	0 18 30 72 90 120 142 156 172 186 208 238 256 298 310 328	431046322904
SPT(16)	2622869648862796369	0 24 58 60 100 102 130 154 168 192 220 222 262 264 298 322	726753578612