Prime p₀= 4305700768664086637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 94 2 40 2 10 2 46 2 (?)
a_n: 0 2 42 44 84 86 180 182 222 224 234 236 282 284
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: Chooka
db: batch=85, k=14, 40 40 94 40 10 46

TPT(14)	4305699373966320137	0 2 12 14 42 44 90 92 210 212 234 236 294 296	-1394697766500
STPT(10)	4305699538480581881	0 2 6 8 48 50 90 92 96 98	-1230183504756
SPT(16)	4305699794534975141	0 2 6 86 90 92 116 120 152 156 180 182 186 266 270 272	-974129111496
SPT(16)	4305700086220479977	0 6 42 50 62 66 72 90 116 134 140 144 156 164 200 206	-682443606660
SPT(16)	4305700110180863111	0 6 90 110 116 146 242 278 300 336 432 462 468 488 572 578	-658483223526
SPT(16)	4305700733141298451	0 10 48 102 130 136 160 220 228 288 312 318 346 400 438 448	-35522788186
STPT(10)	4305701208084685259	0 2 12 14 90 92 168 170 180 182	439420598622
SPT(16)	4305701251570298627	0 20 26 42 110 150 164 276 350 462 476 516 584 600 606 626	482906211990
STPT(10)	4305701261761030211	0 2 66 68 108 110 150 152 216 218	493096943574
SPT(16)	4305701781609798937	0 22 52 54 90 94 112 142 174 204 222 226 262 264 294 316	1012945712300
SPT(16)	4305702008868764341	0 52 66 82 112 118 126 138 160 172 180 186 216 232 246 298	1240204677704