Prime p₀= 2605809168624685817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 202 2 28 2 28 2 76 2 40 2 4 2 (?)
a_n: 0 2 204 206 234 236 264 266 342 344 384 386 390 392
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: RFGuy_KCCO
db: batch=82, k=14, 202 28 28 76 40 4

SPT(16)	2605808275379209981	0 6 40 66 70 82 106 160 198 252 276 288 292 318 352 358	-893245475836
SPT(16)	2605808352775875043	0 10 114 144 154 174 210 244 276 310 346 366 376 406 510 520	-815848810774
TPT(16)	2605808449730257619	0 2 72 74 150 152 222 224 240 242 402 404 420 422 462 464	-718894428198
SPT(16)	2605808558122094209	0 24 34 112 124 178 202 210 232 240 264 318 330 408 418 442	-610502591608
SPT(16)	2605808599338283421	0 18 68 96 132 186 210 216 272 278 302 356 392 420 470 488	-569286402396
SPT(16)	2605808658884048831	0 2 20 38 90 108 122 132 146 156 170 188 240 258 276 278	-509740636986
STPT(10)	2605809256937752361	0 2 108 110 138 140 168 170 276 278	88313066544
STPT(10)	2605809502230346931	0 2 30 32 78 80 126 128 156 158	333605661114
TPT(14)	2605809548341512179	0 2 42 44 78 80 162 164 198 200 252 254 270 272	379716826362
SPT(16)	2605809831575311763	0 78 108 114 128 168 206 240 314 348 386 426 440 446 476 554	662950625946
STPT(10)	2605810289448526409	0 2 18 20 30 32 42 44 60 62	1120823840592