Prime p₀= 2371003704552513209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 28 2 76 2 70 2 148 2 (?)
a_n: 0 2 48 50 60 62 90 92 168 170 240 242 390 392
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: 392
Found by: Landjunge
db: batch=81, k=14, 46 10 28 76 70 148

STPT(10)	2371002389349375497	0 2 60 62 72 74 84 86 144 146	-1315203137712
STPT(10)	2371002391704551177	0 2 42 44 72 74 102 104 144 146	-1312847962032
STPT(10)	2371003205277224039	0 2 18 20 30 32 42 44 60 62	-499275289170
STPT(10)	2371003232268528797	0 2 30 32 60 62 90 92 120 122	-472283984412
SPT(16)	2371003250021871847	0 16 30 96 120 132 154 162 334 342 364 376 400 466 480 496	-454530641362
SPT(16)	2371003331947135117	0 24 52 66 94 96 136 144 172 180 220 222 250 264 292 316	-372605378092
SPT(16)	2371003864396550347	0 66 84 96 222 240 262 304 342 384 406 424 550 562 580 646	159844037138
SPT(18)	2371004221713027449	0 38 50 84 98 128 150 204 240 308 344 398 420 450 464 498 510 548	517160514240
SPT(16)	2371004474299703623	0 10 16 76 78 118 148 150 166 168 198 238 240 300 306 316	769747190414
STPT(10)	2371004524845633371	0 2 30 32 78 80 126 128 156 158	820293120162
STPT(10)	2371004562306525557	0 2 24 26 42 44 60 62 84 86	857754012348