Prime p₀= 1120081630464474479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 16 2 28 2 46 2 40 2 (?)
a_n: 0 2 18 20 42 44 60 62 90 92 138 140 180 182
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: 182
Found by: Daniel
db: batch=76, k=14, 16 22 16 28 46 40

SPT(16)	1120080677596065131	0 36 86 102 122 128 156 162 206 212 240 246 266 282 332 368	-952868409348
STPT(10)	1120080774672891671	0 2 6 8 48 50 90 92 96 98	-855791582808
SPT(16)	1120080792196595927	0 32 92 96 102 104 120 146 180 206 222 224 230 234 294 326	-838267878552
SPT(16)	1120080797384242579	0 12 28 42 48 88 90 118 264 292 294 334 340 354 370 382	-833080231900
STPT(10)	1120080866340423341	0 2 6 8 48 50 90 92 96 98	-764124051138
SPT(16)	1120081422621452111	0 62 80 98 108 150 212 228 272 288 350 392 402 420 438 500	-207843022368
SPT(16)	1120081713377425091	0 18 38 62 140 156 182 192 206 216 242 258 336 360 380 398	82912950612
TPT(14)	1120081822830667181	0 2 90 92 156 158 216 218 270 272 288 290 336 338	192366192702
STPT(12)	1120082135768435027	0 2 24 26 42 44 222 224 240 242 264 266	505303960548
STPT(10)	1120082188707506597	0 2 24 26 42 44 60 62 84 86	558243032118
SPT(16)	1120082479913906783	0 14 18 24 60 66 108 128 156 176 218 224 260 266 270 284	849449432304