Prime p₀= 2387106511036789109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 76 2 190 2 16 2 22 2 (?)
a_n: 0 2 78 80 120 122 198 200 390 392 408 410 432 434
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: 434
Found by: [AF>Libristes] Davlabedave
db: batch=81, k=14, 76 40 76 190 16 22

SPT(16)	2387104367129125783	0 18 54 58 60 66 84 90 94 100 118 124 126 130 166 184	-2143907663326
SPT(16)	2387104850131414019	0 12 18 32 38 62 80 102 230 252 270 294 300 314 320 332	-1660905375090
TPT(14)	2387105565052521881	0 2 36 38 96 98 120 122 138 140 150 152 240 242	-945984267228
TPT(14)	2387105589767485019	0 2 30 32 102 104 138 140 168 170 222 224 270 272	-921269304090
STPT(10)	2387105750349609431	0 2 6 8 18 20 30 32 36 38	-760687179678
SPT(16)	2387106092207241637	0 46 52 64 66 84 96 172 204 280 292 310 312 324 330 376	-418829547472
STPT(10)	2387106878963229119	0 2 48 50 90 92 132 134 180 182	367926440010
SPT(16)	2387107006001508737	0 20 74 86 90 146 182 200 216 234 270 326 330 342 396 416	494964719628
SPT(16)	2387107199889032581	0 28 46 58 78 88 100 120 136 156 168 178 198 210 228 256	688852243472
SPT(16)	2387107241355125701	0 12 18 46 52 60 90 118 150 178 208 216 222 250 256 268	730318336592
STPT(10)	2387107317691971221	0 2 6 8 48 50 90 92 96 98	806655182112