Prime p₀= 2102136401444519681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 46 2 70 2 166 2 22 2 (?)
a_n: 0 2 36 38 48 50 96 98 168 170 336 338 360 362
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: 362
Found by: Landjunge
db: batch=80, k=14, 34 10 46 70 166 22

TPT(14)	2102135681091702461	0 2 36 38 78 80 168 170 210 212 228 230 330 332	-720352817220
SPT(16)	2102135832580056391	0 6 18 28 60 108 132 172 426 466 490 538 570 580 592 598	-568864463290
TPT(14)	2102135885083227941	0 2 36 38 78 80 96 98 120 122 138 140 180 182	-516361291740
STPT(12)	2102135885083227977	0 2 42 44 60 62 84 86 102 104 144 146	-516361291704
STPT(12)	2102136034557629039	0 2 30 32 60 62 72 74 102 104 132 134	-366886890642
SPT(16)	2102136231308585389	0 30 42 78 102 130 154 168 184 198 222 250 274 310 322 352	-170135934292
SPT(16)	2102136425989603021	0 12 42 118 148 160 186 208 210 232 258 270 300 376 406 418	24545083340
STPT(10)	2102136492836188187	0 2 30 32 42 44 54 56 84 86	91391668506
SPT(16)	2102137290106241137	0 72 84 102 106 120 154 166 210 222 256 270 274 292 304 376	888661721456
TPT(14)	2102137580832795419	0 2 42 44 132 134 222 224 258 260 312 314 342 344	1179388275738
TPT(14)	2102137598575955789	0 2 30 32 78 80 162 164 168 170 198 200 210 212	1197131436108