Prime p₀= 2377808678014413659 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 166 2 76 2 88 2 40 2 28 2 (?)
a_n: 0 2 42 44 210 212 288 290 378 380 420 422 450 452
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: 452
Found by: Landjunge
db: batch=81, k=14, 40 166 76 88 40 28

STPT(10)	2377807756211111039	0 2 12 14 30 32 48 50 60 62	-921803302620
STPT(10)	2377808071396859987	0 2 54 56 72 74 90 92 144 146	-606617553672
SPT(16)	2377808249945676311	0 2 8 30 78 80 140 150 170 180 240 242 290 312 318 320	-428068737348
SPT(16)	2377808296063691207	0 2 26 56 90 140 170 182 204 216 246 296 330 360 384 386	-381950722452
STPT(10)	2377808374031278157	0 2 54 56 72 74 90 92 144 146	-303983135502
STPT(10)	2377808384784675509	0 2 42 44 60 62 78 80 120 122	-293229738150
SPT(16)	2377808681224878469	0 18 52 64 72 142 154 190 192 228 240 310 318 330 364 382	3210464810
SPT(16)	2377808849140313203	0 84 94 96 114 130 136 154 156 174 180 196 214 216 226 310	171125899544
SPT(16)	2377809308568487687	0 10 60 102 154 180 186 234 292 340 346 372 424 466 516 526	630554074028
SPT(16)	2377809491139571241	0 8 30 96 102 152 162 198 200 236 246 296 302 368 390 398	813125157582
STPT(10)	2377809698462774657	0 2 42 44 72 74 102 104 144 146	1020448360998