Prime p₀= 2700238877989329407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 40 2 34 2 22 2 16 2 (?)
a_n: 0 2 120 122 132 134 174 176 210 212 234 236 252 254
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: 254
Found by: fzs600
db: batch=82, k=14, 118 10 40 34 22 16

SPT(16)	2700237215151345869	0 18 24 42 90 104 132 158 174 200 228 242 290 308 314 332	-1662837983538
STPT(10)	2700237276074115257	0 2 30 32 42 44 54 56 84 86	-1601915214150
SPT(16)	2700237338603257309	0 42 54 72 120 180 204 264 310 370 394 454 502 520 532 574	-1539386072098
SPT(16)	2700238031199856781	0 6 12 20 32 56 72 86 156 170 186 210 222 230 236 242	-846789472626
SPT(16)	2700238142899043693	0 18 24 74 84 108 140 176 198 234 266 290 300 350 356 374	-735090285714
SPT(13)	2700238639131757069	0 12 90 108 120 132 150 168 180 192 210 288 300	-238857572338
SPT(16)	2700238910649934013	0 44 54 78 86 128 140 216 218 294 306 348 356 380 390 434	32660604606
SPT(16)	2700238994549757733	0 4 30 78 94 150 160 184 204 228 238 294 310 358 384 388	116560428326
SPT(16)	2700239036803296047	0 2 44 56 80 126 140 152 294 306 320 366 390 402 444 446	158813966640
STPT(10)	2700239671638923387	0 2 30 32 42 44 54 56 84 86	793649593980
STPT(10)	2700239731016323031	0 2 6 8 48 50 90 92 96 98	853026993624