Prime p₀= 2708840793661149437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 10 2 46 2 40 2 40 2 (?)
a_n: 0 2 42 44 120 122 132 134 180 182 222 224 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 40 76 10 46 40 40

SPT(16)	2708839783888404919	0 4 22 34 70 84 90 102 130 142 148 162 198 210 228 232	-1009772744518
SPT(16)	2708839841901087473	0 38 78 98 168 200 210 248 288 326 336 368 438 458 498 536	-951760061964
TPT(14)	2708840004823064267	0 2 42 44 84 86 114 116 204 206 234 236 240 242	-788838085170
SPT(16)	2708840200374068989	0 4 30 42 48 90 172 198 244 270 352 394 400 412 438 442	-593287080448
TPT(14)	2708840300389446359	0 2 48 50 78 80 108 110 132 134 162 164 288 290	-493271703078
STPT(10)	2708840623246666817	0 2 30 32 42 44 54 56 84 86	-170414482620
TPT(14)	2708841166054811087	0 2 42 44 54 56 60 62 84 86 144 146 150 152	372393661650
STPT(10)	2708841182733237449	0 2 78 80 120 122 162 164 240 242	389072088012
SPT(16)	2708841316792302149	0 20 24 30 54 108 132 134 168 170 194 248 272 278 282 302	523131152712
SPT(16)	2708841446871671879	0 14 32 42 50 80 102 132 152 182 204 234 242 252 270 284	653210522442
SPT(16)	2708842310624863739	0 14 44 62 78 102 182 212 270 300 380 404 420 438 468 482	1516963714302