Prime p₀= 1101078176866129829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 70 2 10 2 28 2 46 2 (?)
a_n: 0 2 42 44 48 50 120 122 132 134 162 164 210 212
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: 212
Found by: Theadalus
db: batch=76, k=14, 40 4 70 10 28 46

STPT(10)	1101077044111057157	0 2 60 62 72 74 84 86 144 146	-1132755072672
SPT(16)	1101077246734859777	0 14 36 42 56 66 96 122 204 230 260 270 284 290 312 326	-930131270052
STPT(10)	1101077293292786837	0 2 24 26 42 44 60 62 84 86	-883573342992
SPT(16)	1101077548741151483	0 6 36 66 146 188 210 236 300 326 348 390 470 500 530 536	-628124978346
SPT(16)	1101077779034825939	0 2 32 50 72 92 98 120 152 174 180 200 222 240 270 272	-397831303890
SPT(16)	1101078060797426137	0 4 66 112 144 150 214 226 270 282 346 352 384 430 492 496	-116068703692
SPT(16)	1101078202045573483	0 6 36 58 78 114 120 130 144 154 160 196 216 238 268 274	25179443654
SPT(16)	1101078456708736861	0 36 42 210 216 232 246 258 280 292 306 322 328 496 502 538	279842607032
SPT(16)	1101078575390403073	0 6 48 78 84 94 120 150 154 184 210 220 226 256 298 304	398524273244
TPT(14)	1101078628001277221	0 2 6 8 36 38 126 128 228 230 246 248 270 272	451135147392
SPT(16)	1101078641378427193	0 10 30 34 84 94 118 124 144 150 174 184 234 238 258 268	464512297364