Prime p₀= 2111872916815291127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 40 2 28 2 64 2 82 2 (?)
a_n: 0 2 12 14 42 44 84 86 114 116 180 182 264 266
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: 266
Found by: Euphoriabuzz
db: batch=80, k=14, 10 28 40 28 64 82

STPT(10)	2111871643402560209	0 2 42 44 60 62 78 80 120 122	-1273412730918
SPT(16)	2111871757083802309	0 4 18 40 52 144 150 154 168 172 178 270 282 304 318 322	-1159731488818
SPT(16)	2111872003560102323	0 26 38 56 66 68 78 80 126 128 138 140 150 168 180 206	-913255188804
STPT(10)	2111872246068448109	0 2 78 80 120 122 162 164 240 242	-670746843018
SPT(16)	2111872425178039123	0 46 64 66 168 186 204 208 216 220 238 256 358 360 378 424	-491637252004
SPT(16)	2111872843467992263	0 28 54 66 88 94 106 154 180 228 240 246 268 280 306 334	-73347298864
SPT(16)	2111873113297904399	0 18 24 48 84 108 132 192 200 260 284 308 344 368 374 392	196482613272
SPT(16)	2111873581276937323	0 46 54 88 108 138 154 178 216 240 256 286 306 340 348 394	664461646196
STPT(10)	2111873803681422791	0 2 6 8 48 50 90 92 96 98	886866131664
STPT(10)	2111873967896433359	0 2 48 50 90 92 132 134 180 182	1051081142232
SPT(16)	2111874275714036261	0 8 38 50 80 96 102 138 140 176 182 198 228 240 270 278	1358898745134