Prime p₀= 1468028660535632471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 22 2 76 2 76 2 58 2 22 2 (?)
a_n: 0 2 66 68 90 92 168 170 246 248 306 308 330 332
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: 332
Found by: hase
db: batch=78, k=14, 64 22 76 76 58 22

SPT(16)	1468027310656378529	0 18 32 44 50 54 80 180 182 282 308 312 318 330 344 362	-1349879253942
SPT(16)	1468027610852512561	0 46 60 76 82 132 186 192 196 202 256 306 312 328 342 388	-1049683119910
STPT(10)	1468027770148352867	0 2 24 26 42 44 60 62 84 86	-890387279604
SPT(16)	1468027798202601007	0 36 82 84 136 192 196 220 516 540 544 600 652 654 700 736	-862333031464
STPT(10)	1468028066679029699	0 2 18 20 30 32 42 44 60 62	-593856602772
SPT(16)	1468028533090387339	0 12 22 30 42 54 64 82 102 120 130 142 154 162 172 184	-127445245132
TPT(14)	1468028816880047027	0 2 12 14 60 62 72 74 84 86 90 92 114 116	156344414556
STPT(10)	1468028939538355889	0 2 30 32 60 62 90 92 120 122	279002723418
SPT(16)	1468029084153124709	0 2 14 72 104 152 182 222 230 270 300 348 380 438 450 452	423617492238
SPT(16)	1468029119075889869	0 24 90 120 132 134 204 234 308 338 408 410 422 452 518 542	458540257398
SPT(16)	1468029354229712389	0 10 42 82 90 114 208 220 222 234 328 352 360 400 432 442	693694079918