Prime p₀= 4364089513690933547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 40 2 28 2 28 2 64 2 (?)
a_n: 0 2 120 122 132 134 174 176 204 206 234 236 300 302
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: 302
Found by: vanos0512
db: batch=85, k=14, 118 10 40 28 28 64

SPT(16)	4364088542275160969	0 50 62 78 90 98 110 132 218 240 252 260 272 288 300 350	-971415772578
SPT(16)	4364088837150417103	0 58 120 136 196 204 208 270 274 336 340 348 408 424 486 544	-676540516444
SPT(16)	4364088868934358371	0 30 56 86 120 150 176 188 240 252 278 308 342 372 398 428	-644756575176
SPT(16)	4364088973843706309	0 14 38 44 48 54 60 74 138 152 158 164 168 174 198 212	-539847227238
TPT(14)	4364089005517228157	0 2 30 32 60 62 102 104 132 134 144 146 210 212	-508173705390
STPT(10)	4364089485554445011	0 2 30 32 78 80 126 128 156 158	-28136488536
SPT(16)	4364089885719651097	0 66 96 106 156 160 174 196 204 226 240 244 294 304 334 400	372028717550
SPT(16)	4364089958830142017	0 10 16 72 142 196 252 256 276 280 336 390 460 516 522 532	445139208470
TPT(14)	4364090078491888439	0 2 78 80 90 92 168 170 210 212 342 344 450 452	564800954892
TPT(14)	4364090657359486127	0 2 42 44 60 62 84 86 222 224 270 272 384 386	1143668552580
STPT(10)	4364090753272131821	0 2 36 38 78 80 120 122 156 158	1239581198274