Prime p₀= 2833216656980378789 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 58 2 28 2 40 2 136 2 22 2 (?)
a_n: 0 2 108 110 168 170 198 200 240 242 378 380 402 404
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: 404
Found by: [SG-FC] hl
db: batch=82, k=14, 106 58 28 40 136 22

STPT(10)	2833214453964198917	0 2 30 32 42 44 54 56 84 86	-2203016179872
SPT(16)	2833214853796942583	0 26 36 48 140 206 218 260 306 348 360 426 518 530 540 566	-1803183436206
TPT(14)	2833215291850239389	0 2 18 20 42 44 120 122 132 134 168 170 210 212	-1365130139400
SPT(16)	2833215838204532161	0 16 42 72 78 108 162 192 196 226 280 310 316 346 372 388	-818775846628
STPT(10)	2833216068955967207	0 2 60 62 102 104 144 146 204 206	-588024411582
SPT(16)	2833216228758134729	0 42 48 72 108 110 152 180 182 210 252 254 290 314 320 362	-428222244060
STPT(10)	2833216690385851709	0 2 30 32 60 62 90 92 120 122	33405472920
STPT(10)	2833216752978029399	0 2 42 44 60 62 78 80 120 122	95997650610
SPT(16)	2833217059325269291	0 10 52 72 78 120 162 168 310 316 358 400 406 426 468 478	402344890502
TPT(14)	2833217118759948197	0 2 12 14 30 32 60 62 210 212 222 224 294 296	461779569408
STPT(10)	2833217622900806891	0 2 36 38 78 80 120 122 156 158	965920428102