Prime p₀= 2379154854446303627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 40 2 16 2 112 2 94 2 22 2 (?)
a_n: 0 2 150 152 192 194 210 212 324 326 420 422 444 446
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: 446
Found by: Landjunge
db: batch=81, k=14, 148 40 16 112 94 22

SPT(16)	2379152502290619199	0 18 28 42 48 60 88 102 130 144 172 184 190 204 214 232	-2352155684428
STPT(10)	2379152853037865657	0 2 30 32 42 44 54 56 84 86	-2001408437970
SPT(16)	2379153068839692911	0 12 30 50 56 128 150 206 252 308 330 402 408 428 446 458	-1785606610716
STPT(10)	2379153385849065521	0 2 90 92 150 152 210 212 300 302	-1468597238106
STPT(10)	2379154100147396459	0 2 18 20 30 32 42 44 60 62	-754298907168
SPT(18)	2379154333749980077	0 4 82 96 120 132 154 214 222 274 282 342 364 376 400 414 492 496	-520696323550
STPT(10)	2379154907654067857	0 2 30 32 42 44 54 56 84 86	53207764230
STPT(10)	2379154924769712497	0 2 42 44 72 74 102 104 144 146	70323408870
STPT(10)	2379155030898451877	0 2 30 32 42 44 54 56 84 86	176452148250
SPT(16)	2379155245407310561	0 6 28 66 70 112 130 142 246 258 276 318 322 360 382 388	390961006934
SPT(16)	2379155449563311267	0 2 6 14 30 32 44 56 90 102 114 116 132 140 144 146	595117007640