Prime p₀= 2409709761122407349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 34 2 88 2 88 2 40 2 (?)
a_n: 0 2 72 74 132 134 168 170 258 260 348 350 390 392
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: 392
Found by: Josemi
db: batch=82, k=14, 70 58 34 88 88 40

TPT(14)	2409708579341551049	0 2 78 80 102 104 198 200 288 290 312 314 540 542	-1181780856300
TPT(14)	2409708642138589469	0 2 12 14 72 74 192 194 228 230 240 242 348 350	-1118983817880
STPT(10)	2409708859128731099	0 2 30 32 60 62 90 92 120 122	-901993676250
SPT(16)	2409708929945214643	0 54 64 114 124 144 166 196 198 228 250 270 280 330 340 394	-831177192706
SPT(16)	2409709040949737173	0 34 48 58 78 118 124 174 190 240 246 286 306 316 330 364	-720172670176
SPT(20)	2409709048330499987	0 30 74 152 212 260 312 330 344 422 444 522 536 554 606 654 714 792 836 866	-712791907362
SPT(18)	2409709869862295131	0 36 76 96 118 120 138 228 252 256 280 370 388 390 412 432 472 508	108739887782
SPT(16)	2409709942632307529	0 2 60 102 114 134 140 144 158 162 168 188 200 242 300 302	181509900180
SPT(16)	2409709964472735079	0 4 52 60 64 82 102 130 162 190 210 228 232 240 288 292	203350327730
SPT(13)	2409710693759735209	0 42 54 84 114 120 162 204 210 240 270 282 324	932637327860
SPT(16)	2409710811651272359	0 60 88 114 234 262 268 310 522 564 570 598 718 744 772 832	1050528865010