Prime p₀= 2317850287350117629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 76 2 40 2 46 2 10 2 (?)
a_n: 0 2 48 50 102 104 180 182 222 224 270 272 282 284
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: 284
Found by: eclipse99
db: batch=81, k=14, 46 52 76 40 46 10

TPT(14)	2317849002393140537	0 2 12 14 72 74 192 194 222 224 234 236 270 272	-1284956977092
STPT(10)	2317849679194430597	0 2 60 62 72 74 84 86 144 146	-608155687032
SPT(16)	2317849785097885807	0 72 262 322 334 360 490 502 534 546 676 702 714 774 964 1036	-502252231822
SPT(16)	2317849842282785311	0 22 100 106 112 118 138 142 186 190 210 216 222 228 306 328	-445067332318
STPT(10)	2317850048421431021	0 2 36 38 78 80 120 122 156 158	-238928686608
SPT(16)	2317850130827082947	0 30 36 50 56 60 84 116 264 296 320 324 330 344 350 380	-156523034682
SPT(16)	2317850376634695323	0 44 50 54 158 180 200 224 240 264 284 306 410 414 420 464	89284577694
SPT(16)	2317850451591358037	0 12 50 56 84 116 144 212 294 362 390 422 450 456 494 506	164241240408
STPT(10)	2317850540539795757	0 2 12 14 42 44 72 74 84 86	253189678128
SPT(16)	2317850576288448527	0 2 14 36 56 84 110 120 146 156 182 210 230 252 264 266	288938330898
STPT(10)	2317850660784041531	0 2 30 32 78 80 126 128 156 158	373433923902