Prime p₀= 2080736839021763717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 10 2 28 2 34 2 28 2 (?)
a_n: 0 2 90 92 132 134 144 146 174 176 210 212 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 88 40 10 28 34 28

STPT(10)	2080736229674149139	0 2 42 44 120 122 198 200 240 242	-609347614578
SPT(16)	2080736299113208001	0 6 12 30 48 90 116 128 210 222 248 290 308 326 332 338	-539908555716
SPT(16)	2080736578475191837	0 4 96 100 126 144 162 180 256 274 292 310 336 340 432 436	-260546571880
SPT(16)	2080736619018152453	0 44 66 78 108 116 144 294 320 470 498 506 536 548 570 614	-220003611264
TPT(14)	2080736736392715647	0 2 24 26 30 32 54 56 180 182 204 206 234 236	-102629048070
TPT(14)	2080736749035302339	0 2 18 20 42 44 90 92 102 104 132 134 168 170	-89986461378
STPT(10)	2080736935847636159	0 2 18 20 30 32 42 44 60 62	96825872442
SPT(16)	2080737045995048687	0 2 30 32 72 80 96 114 122 140 156 164 204 206 234 236	206973284970
STPT(10)	2080737266990566781	0 2 36 38 78 80 120 122 156 158	427968803064
SPT(16)	2080737442184968409	0 12 14 42 108 122 140 164 198 222 240 254 320 348 350 362	603163204692
STPT(10)	2080737540950216129	0 2 42 44 60 62 78 80 120 122	701928452412