Prime p₀= 2111889116407374431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 40 2 10 2 28 2 58 2 46 2 (?)
a_n: 0 2 96 98 138 140 150 152 180 182 240 242 288 290
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: 290
Found by: Euphoriabuzz
db: batch=80, k=14, 94 40 10 28 58 46

STPT(10)	2111887942988143511	0 2 36 38 78 80 120 122 156 158	-1173419230920
STPT(10)	2111888005094747651	0 2 36 38 78 80 120 122 156 158	-1111312626780
STPT(10)	2111888166244278137	0 2 72 74 102 104 132 134 204 206	-950163096294
SPT(16)	2111888244921507527	0 12 14 126 132 156 236 264 272 300 380 404 410 522 524 536	-871485866904
SPT(16)	2111888586848031619	0 42 78 82 118 144 172 174 418 420 448 474 510 514 550 592	-529559342812
SPT(16)	2111888649587711801	0 6 92 120 132 162 176 228 290 342 356 386 398 426 512 518	-466819662630
STPT(10)	2111889257363805287	0 2 30 32 42 44 54 56 84 86	140956430856
STPT(10)	2111889589073325959	0 2 42 44 60 62 78 80 120 122	472665951528
STPT(10)	2111890192816053437	0 2 60 62 72 74 84 86 144 146	1076408679006
TPT(14)	2111890392051506237	0 2 90 92 132 134 210 212 372 374 420 422 624 626	1275644131806
STPT(10)	2111890796906239757	0 2 42 44 72 74 102 104 144 146	1680498865326