Prime p₀= 912779908856575127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 4 2 28 2 82 2 (?)
a_n: 0 2 12 14 30 32 54 56 60 62 90 92 174 176
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: 176
Found by: Theadalus
db: batch=76, k=14, 10 16 22 4 28 82

STPT(10)	912778288224036917	0 2 12 14 72 74 132 134 144 146	-1620632538210
SPT(16)	912778624630328581	0 28 30 42 76 142 156 178 240 262 276 342 376 388 390 418	-1284226246546
STPT(10)	912778704364415459	0 2 18 20 30 32 42 44 60 62	-1204492159668
STPT(10)	912778745136898751	0 2 138 140 168 170 198 200 336 338	-1163719676376
SPT(16)	912779434900335271	0 16 58 66 70 76 100 120 148 168 192 198 202 210 252 268	-473956239856
SPT(16)	912779682971115391	0 6 76 82 126 130 138 148 150 160 168 172 216 222 292 298	-225885459736
SPT(16)	912780054516421787	0 2 12 14 104 114 164 192 254 282 332 342 432 434 444 446	145659846660
STPT(10)	912780194655547187	0 2 30 32 72 74 114 116 144 146	285798972060
SPT(16)	912780517867714277	0 6 56 84 116 134 144 210 266 332 342 360 392 420 470 476	609011139150
STPT(10)	912780642223485851	0 2 6 8 48 50 90 92 96 98	733366910724
SPT(16)	912780666857446921	0 10 22 30 66 76 112 130 132 150 186 196 232 240 252 262	758000871794