Prime p₀= 1309513305128274887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 46 2 82 2 46 2 16 2 (?)
a_n: 0 2 12 14 42 44 90 92 174 176 222 224 240 242
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: 242
Found by: stoneageman
db: batch=77, k=14, 10 28 46 82 46 16

STPT(10)	1309512133062182261	0 2 36 38 78 80 120 122 156 158	-1172066092626
STPT(10)	1309512373370844257	0 2 24 26 42 44 60 62 84 86	-931757430630
STPT(10)	1309512482138774699	0 2 42 44 60 62 78 80 120 122	-822989500188
SPT(16)	1309512694312719847	0 4 30 52 54 60 82 96 100 114 136 142 144 166 192 196	-610815555040
SPT(20)	1309512796731675671	0 18 38 66 72 80 102 150 192 212 246 266 308 356 378 386 392 420 440 458	-508396599216
SPT(16)	1309512809954181757	0 30 60 70 106 144 184 220 240 276 316 354 390 400 430 460	-495174093130
SPT(16)	1309513305770058239	0 32 42 54 60 90 102 104 168 170 182 212 218 230 240 272	641783352
SPT(16)	1309513929438372643	0 24 118 126 144 160 208 256 258 306 354 370 388 396 490 514	624310097756
STPT(10)	1309513982624280581	0 2 30 32 78 80 126 128 156 158	677496005694
STPT(10)	1309514384484857987	0 2 42 44 72 74 102 104 144 146	1079356583100
TPT(14)	1309514810332315619	0 2 42 44 90 92 198 200 240 242 300 302 312 314	1505204040732