Prime p₀= 2644955437792938119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 4 2 82 2 16 2 16 2 (?)
a_n: 0 2 12 14 42 44 48 50 132 134 150 152 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 10 28 4 82 16 16

STPT(10)	2644954094940991649	0 2 12 14 30 32 48 50 60 62	-1342851946470
SPT(16)	2644954649906861353	0 28 46 64 84 88 118 166 168 216 246 250 270 288 306 334	-787886076766
SPT(16)	2644954888742196917	0 6 42 54 116 120 122 162 164 204 206 210 272 284 320 326	-549050741202
SPT(16)	2644955270431199959	0 52 72 112 120 150 162 168 172 178 190 220 228 268 288 340	-167361738160
SPT(16)	2644955358227253859	0 28 34 72 78 88 90 102 130 142 144 154 160 198 204 232	-79565684260
SPT(16)	2644955381908408409	0 2 14 44 60 84 98 150 242 294 308 332 348 378 390 392	-55884529710
SPT(16)	2644955478881623189	0 28 34 42 72 112 162 174 178 190 240 280 310 318 324 352	41088685070
STPT(10)	2644955545536301817	0 2 30 32 42 44 54 56 84 86	107743363698
TPT(14)	2644955572789384499	0 2 12 14 72 74 78 80 138 140 192 194 210 212	134996446380
STPT(10)	2644956065901993029	0 2 18 20 30 32 42 44 60 62	628109054910
SPT(16)	2644956550823443013	0 36 54 66 108 114 120 170 174 224 230 236 278 290 308 344	1113030504894