Prime p₀= 2378076822761209067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 136 2 28 2 70 2 4 2 (?)
a_n: 0 2 24 26 84 86 222 224 252 254 324 326 330 332
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: 332
Found by: ChUcK
db: batch=81, k=14, 22 58 136 28 70 4

SPT(16)	2378075830240599877	0 34 36 84 112 114 156 202 234 280 322 324 352 400 402 436	-992520609190
SPT(16)	2378075857798620337	0 10 24 42 66 102 142 166 210 234 274 310 334 352 366 376	-964962588730
STPT(10)	2378076264847324211	0 2 30 32 78 80 126 128 156 158	-557913884856
STPT(10)	2378076472348564331	0 2 36 38 78 80 120 122 156 158	-350412644736
SPT(16)	2378076681372757931	0 12 56 60 122 126 140 152 186 198 212 216 278 282 326 338	-141388451136
SPT(16)	2378076706468728361	0 6 70 88 90 96 126 148 150 172 202 208 210 228 292 298	-116292480706
STPT(10)	2378077168785284147	0 2 24 26 42 44 60 62 84 86	346024075080
SPT(16)	2378077340119005523	0 60 64 118 174 186 204 208 216 220 238 250 306 360 364 424	517357796456
SPT(16)	2378077483061647649	0 24 42 72 78 98 102 120 122 140 144 164 170 200 218 242	660300438582
SPT(16)	2378077750226735647	0 10 70 84 94 112 124 150 154 180 192 210 220 234 294 304	927465526580
STPT(10)	2378078176444653491	0 2 6 8 48 50 90 92 96 98	1353683444424