Prime p₀= 2818828799607647921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 130 2 64 2 28 2 22 2 46 2 (?)
a_n: 0 2 78 80 210 212 276 278 306 308 330 332 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 76 130 64 28 22 46

STPT(10)	2818827013368064331	0 2 6 8 48 50 90 92 96 98	-1786239583590
TPT(14)	2818827643048746071	0 2 30 32 108 110 120 122 150 152 276 278 306 308	-1156558901850
SPT(16)	2818828131778909951	0 46 70 72 108 120 126 180 238 292 298 310 346 348 372 418	-667828737970
STPT(10)	2818828354877251229	0 2 42 44 60 62 78 80 120 122	-444730396692
SPT(16)	2818828541204786191	0 28 30 48 78 96 100 130 198 228 232 250 280 298 300 328	-258402861730
SPT(13)	2818828640070195617	0 42 72 90 102 120 186 252 270 282 300 330 372	-159537452304
SPT(16)	2818828902917066311	0 6 10 16 30 52 88 126 142 180 216 238 252 258 262 268	103309418390
STPT(10)	2818829189340112979	0 2 18 20 30 32 42 44 60 62	389732465058
SPT(16)	2818829223963628279	0 10 22 108 154 172 202 250 342 390 420 438 484 570 582 592	424355980358
STPT(10)	2818829351817677789	0 2 42 44 90 92 138 140 180 182	552210029868
SPT(16)	2818829655209906333	0 8 36 50 56 86 108 128 168 188 210 240 246 260 288 296	855602258412