Prime p₀= 779636056465443389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 106 2 58 2 28 2 40 2 (?)
a_n: 0 2 102 104 132 134 240 242 300 302 330 332 372 374
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: 374
Found by: arkiss
db: batch=73, k=14, 100 28 106 58 28 40

STPT(10)	779634039677879171	0 2 36 38 78 80 120 122 156 158	-2016787564218
SPT(16)	779634691320023249	0 20 50 60 62 84 90 162 182 254 260 282 284 294 324 344	-1365145420140
SPT(16)	779634860281569493	0 40 90 130 138 190 204 208 300 304 318 370 378 418 468 508	-1196183873896
SPT(16)	779635423486518983	0 48 54 66 126 168 194 228 236 270 296 338 398 410 416 464	-632978924406
STPT(10)	779635451605843319	0 2 48 50 90 92 132 134 180 182	-604859600070
TPT(14)	779635732582518737	0 2 90 92 102 104 132 134 342 344 354 356 384 386	-323882924652
SPT(16)	779636882061121859	0 62 90 92 110 134 180 218 264 302 348 372 390 392 420 482	825595678470
SPT(16)	779636920635478837	0 42 46 54 60 84 106 112 114 120 142 166 172 180 184 226	864170035448
SPT(16)	779637084066215537	0 12 24 42 54 86 192 206 210 224 330 362 374 392 404 416	1027600772148
STPT(10)	779637381770416859	0 2 18 20 30 32 42 44 60 62	1325304973470
SPT(16)	779637519708565031	0 12 38 56 66 92 96 182 216 302 306 332 342 360 386 398	1463243121642