Prime p₀= 3022838626137153167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 28 2 4 2 70 2 28 2 (?)
a_n: 0 2 24 26 84 86 114 116 120 122 192 194 222 224
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: 224
Found by: [SG-FC] hl
db: batch=82, k=14, 22 58 28 4 70 28

STPT(10)	3022836647743588199	0 2 18 20 30 32 42 44 60 62	-1978393564968
SPT(16)	3022836977558772679	0 22 34 40 82 154 174 198 214 238 258 330 372 378 390 412	-1648578380488
TPT(14)	3022837085868758267	0 2 72 74 132 134 180 182 270 272 282 284 300 302	-1540268394900
SPT(16)	3022837351466110247	0 14 20 66 86 104 116 174 182 240 252 270 290 336 342 356	-1274671042920
STPT(10)	3022838204205248447	0 2 42 44 72 74 102 104 144 146	-421931904720
SPT(16)	3022838255558129011	0 42 48 58 150 198 232 262 306 336 370 418 510 520 526 568	-370579024156
STPT(10)	3022838800276024151	0 2 36 38 78 80 120 122 156 158	174138870984
SPT(18)	3022839237040265921	0 6 48 50 80 90 108 126 146 210 230 248 266 276 306 308 350 356	610903112754
SPT(16)	3022839327246484171	0 52 70 82 150 186 226 240 292 306 346 382 450 462 480 532	701109331004
STPT(10)	3022839846494547851	0 2 36 38 78 80 120 122 156 158	1220357394684
SPT(16)	3022839857360264507	0 12 24 42 62 86 104 144 152 192 210 234 254 272 284 296	1231223111340