Prime p₀= 2309886704189375501 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 76 2 10 2 76 2 70 2 46 2 (?)
a_n: 0 2 78 80 156 158 168 170 246 248 318 320 366 368
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: 368
Found by: Orange Kid
db: batch=81, k=14, 76 76 10 76 70 46

SPT(16)	2309885335396385753	0 30 74 86 116 156 168 174 320 326 338 378 408 420 464 494	-1368792989748
SPT(18)	2309885469402041779	0 10 40 52 78 108 124 154 190 282 318 348 364 394 420 432 462 472	-1234787333722
SPT(16)	2309885836756365767	0 26 50 56 92 96 120 176 180 236 260 264 300 306 330 356	-867433009734
STPT(10)	2309886175334770787	0 2 60 62 72 74 84 86 144 146	-528854604714
STPT(10)	2309886233469081269	0 2 30 32 60 62 90 92 120 122	-470720294232
SPT(16)	2309886239161594913	0 14 24 30 54 68 128 138 140 150 210 224 248 254 264 278	-465027780588
SPT(16)	2309886861300709763	0 14 44 80 98 140 168 176 198 206 234 276 294 330 360 374	157111334262
STPT(10)	2309887843697919767	0 2 42 44 72 74 102 104 144 146	1139508544266
STPT(10)	2309888085964089539	0 2 18 20 30 32 42 44 60 62	1381774714038
SPT(16)	2309888485792067711	0 26 48 68 90 156 170 182 186 198 212 278 300 320 342 368	1781602692210
TPT(14)	2309888490659973467	0 2 12 14 54 56 192 194 210 212 234 236 252 254	1786470597966