Prime p₀= 2844799157914624019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 94 2 22 2 34 2 10 2 (?)
a_n: 0 2 30 32 102 104 198 200 222 224 258 260 270 272
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: 272
Found by: Orange Kid
db: batch=82, k=14, 28 70 94 22 34 10

SPT(16)	2844798254861915251	0 42 48 76 96 100 126 130 198 202 228 232 252 280 286 328	-903052708768
SPT(16)	2844798331895539907	0 30 54 72 86 110 122 140 156 174 186 210 224 242 266 296	-826019084112
STPT(10)	2844798448899401087	0 2 30 32 60 62 90 92 120 122	-709015222932
SPT(16)	2844798612323345459	0 68 74 90 110 182 228 242 300 314 360 432 452 468 474 542	-545591278560
SPT(16)	2844798902381968549	0 30 34 52 90 112 114 120 154 160 162 184 222 240 244 274	-255532655470
SPT(16)	2844798911716369879	0 18 52 78 138 190 214 220 222 228 252 304 364 390 424 442	-246198254140
STPT(10)	2844799157958757367	0 2 30 32 42 44 54 56 84 86	44133348
STPT(10)	2844799259079388571	0 2 36 38 78 80 120 122 156 158	101164764552
SPT(16)	2844799429498922719	0 4 28 120 124 132 148 178 204 234 250 258 262 354 378 382	271584298700
SPT(16)	2844800654172521981	0 200 210 222 258 278 390 410 420 440 552 572 608 620 630 830	1496257897962
STPT(10)	2844801468589887011	0 2 6 8 18 20 30 32 36 38	2310675262992