Prime p₀= 2104484012459440751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 40 2 58 2 130 2 28 2 (?)
a_n: 0 2 66 68 126 128 168 170 228 230 360 362 390 392
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: Dingo
db: batch=80, k=14, 64 58 40 58 130 28

SPT(16)	2104482323053528009	0 12 42 198 232 250 258 270 352 364 372 390 424 580 610 622	-1689405912742
SPT(16)	2104482689018655199	0 24 64 70 72 90 112 130 132 150 172 190 192 198 238 262	-1323440785552
SPT(16)	2104482844513639309	0 48 102 118 130 168 184 280 282 378 394 432 444 460 514 562	-1167945801442
SPT(16)	2104482896646855733	0 4 24 46 66 88 126 166 198 238 276 298 318 340 360 364	-1115812585018
SPT(16)	2104483039790293633	0 16 60 118 126 168 196 240 274 318 346 388 396 454 498 514	-972669147118
SPT(16)	2104483640933345827	0 22 60 94 126 150 172 192 334 354 376 400 432 466 504 526	-371526094924
STPT(10)	2104484221855527599	0 2 42 44 90 92 138 140 180 182	209396086848
TPT(14)	2104484371838230979	0 2 48 50 60 62 78 80 198 200 210 212 240 242	359378790228
SPT(16)	2104485280916911439	0 68 110 222 252 288 290 338 414 462 464 500 530 642 684 752	1268457470688
STPT(10)	2104485328170605291	0 2 6 8 18 20 30 32 36 38	1315711164540
SPT(16)	2104485567556312151	0 38 96 110 116 200 210 236 282 308 318 402 408 422 480 518	1555096871400