Prime p₀= 2992561173943214759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 70 2 16 2 10 2 10 2 (?)
a_n: 0 2 90 92 138 140 210 212 228 230 240 242 252 254
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: herby44
db: batch=82, k=14, 88 46 70 16 10 10

SPT(16)	2992559575696413029	0 20 32 84 90 104 108 164 168 224 228 242 248 300 312 332	-1598246801730
SPT(16)	2992559600396219353	0 16 30 40 54 64 66 78 196 208 210 220 234 244 258 274	-1573546995406
SPT(16)	2992559679004240237	0 16 22 36 84 124 184 190 216 222 282 322 370 384 390 406	-1494938974522
STPT(10)	2992559858882750669	0 2 42 44 60 62 78 80 120 122	-1315060464090
STPT(10)	2992559975343952367	0 2 54 56 72 74 90 92 144 146	-1198599262392
SPT(16)	2992560681894434941	0 28 30 36 52 132 160 190 288 318 346 426 442 448 450 478	-492048779818
STPT(10)	2992561202125173227	0 2 90 92 132 134 174 176 264 266	28181958468
STPT(10)	2992561384698738701	0 2 30 32 60 62 90 92 120 122	210755523942
STPT(10)	2992561720466947511	0 2 36 38 78 80 120 122 156 158	546523732752
SPT(13)	2992561864387724269	0 18 78 84 138 168 174 180 210 264 270 330 348	690444509510
TPT(14)	2992562356053550037	0 2 30 32 60 62 84 86 132 134 162 164 240 242	1182110335278