Prime p₀= 2037830583520856741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 28 2 100 2 76 2 46 2 (?)
a_n: 0 2 66 68 78 80 108 110 210 212 288 290 336 338
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: 338
Found by: Landjunge
db: batch=80, k=14, 64 10 28 100 76 46

STPT(10)	2037829653647908577	0 2 30 32 72 74 114 116 144 146	-929872948164
SPT(16)	2037829860370745843	0 6 8 48 68 78 138 150 206 218 278 288 308 348 350 356	-723150110898
STPT(10)	2037829936827439169	0 2 48 50 60 62 72 74 120 122	-646693417572
SPT(16)	2037830053844935771	0 16 28 40 42 72 78 88 120 130 136 166 168 180 192 208	-529675920970
SPT(16)	2037830220596860717	0 40 96 144 180 262 276 312 334 370 384 466 502 550 606 646	-362923996024
STPT(10)	2037830256112060367	0 2 60 62 72 74 84 86 144 146	-327408796374
STPT(12)	2037830658476491787	0 2 30 32 42 44 60 62 72 74 102 104	74955635046
SPT(16)	2037830769048513037	0 82 84 102 156 180 210 232 264 286 316 340 394 412 414 496	185527656296
TPT(14)	2037832300157277719	0 2 18 20 198 200 270 272 390 392 408 410 600 602	1716636420978
SPT(16)	2037832383008536967	0 20 26 102 132 140 156 222 230 296 312 320 350 426 432 452	1799487680226
STPT(10)	2037832688063448317	0 2 30 32 42 44 54 56 84 86	2104542591576