Prime p₀= 2708981810246591309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 28 2 40 2 40 2 64 2 (?)
a_n: 0 2 78 80 108 110 138 140 180 182 222 224 288 290
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: JayPi
db: batch=82, k=14, 76 28 28 40 40 64

SPT(16)	2708980680012912167	0 24 102 140 144 200 240 260 324 344 384 440 444 482 560 584	-1130233679142
STPT(10)	2708980820479775729	0 2 18 20 30 32 42 44 60 62	-989766815580
TPT(16)	2708981239726583999	0 2 48 50 78 80 132 134 240 242 258 260 288 290 312 314	-570520007310
SPT(16)	2708981319659251309	0 30 52 112 144 150 154 180 184 210 214 220 252 312 334 364	-490587340000
STPT(10)	2708981729221983029	0 2 42 44 90 92 138 140 180 182	-81024608280
SPT(16)	2708981755969379659	0 10 28 42 52 72 90 112 300 322 340 360 370 384 402 412	-54277211650
SPT(16)	2708982696380389613	0 44 60 98 104 114 140 158 270 288 314 324 330 368 384 428	886133798304
STPT(10)	2708982946092344807	0 2 30 32 42 44 54 56 84 86	1135845753498
SPT(16)	2708982988069857757	0 60 130 136 156 166 240 244 276 280 354 364 384 390 460 520	1177823266448
STPT(10)	2708983130347682987	0 2 30 32 42 44 54 56 84 86	1320101091678
STPT(10)	2708983311262958669	0 2 30 32 60 62 90 92 120 122	1501016367360