Prime p₀= 2367820086066029261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 46 2 40 2 64 2 28 2 (?)
a_n: 0 2 6 8 30 32 78 80 120 122 186 188 216 218
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: 218
Found by: arkiss
db: batch=81, k=14, 4 22 46 40 64 28

SPT(16)	2367819466989911159	0 30 32 38 68 78 122 140 222 240 284 294 324 330 332 362	-619076118102
SPT(16)	2367819604732934251	0 70 72 82 96 100 118 130 198 210 228 232 246 256 258 328	-481333095010
STPT(10)	2367819655370550551	0 2 30 32 78 80 126 128 156 158	-430695478710
SPT(16)	2367819682607534957	0 86 140 156 162 174 194 200 366 372 392 404 410 426 480 566	-403458494304
SPT(16)	2367819846026248711	0 6 10 66 88 132 136 226 252 342 346 390 412 468 472 478	-240039780550
STPT(10)	2367819969273997499	0 2 18 20 30 32 42 44 60 62	-116792031762
STPT(12)	2367820633864172939	0 2 60 62 102 104 138 140 180 182 240 242	547798143678
SPT(16)	2367820916803997197	0 4 30 46 96 100 114 144 196 226 240 244 294 310 336 340	830737967936
SPT(16)	2367820989138037999	0 30 60 90 100 102 108 150 262 304 310 312 322 352 382 412	903072008738
SPT(16)	2367821377694470421	0 20 36 38 42 78 80 96 122 138 140 176 180 182 198 218	1291628441160
STPT(10)	2367821474912083427	0 2 12 14 42 44 72 74 84 86	1388846054166