Prime p₀= 1974483223204265729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 298 2 40 2 40 2 58 2 16 2 (?)
a_n: 0 2 48 50 348 350 390 392 432 434 492 494 510 512
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: 512
Found by: Orange Kid
db: batch=80, k=14, 46 298 40 40 58 16

SPT(16)	1974482141273994631	0 48 66 76 90 100 108 178 198 268 276 286 300 310 328 376	-1081930271098
SPT(16)	1974482302174532401	0 12 18 40 72 102 130 138 202 210 238 268 300 322 328 340	-921029733328
SPT(20)	1974482344936019911	0 12 16 40 42 58 72 76 82 100 108 126 132 136 150 166 168 192 196 208	-878268245818
STPT(10)	1974482677300104689	0 2 12 14 90 92 168 170 180 182	-545904161040
TPT(14)	1974482875873387151	0 2 18 20 108 110 306 308 336 338 360 362 396 398	-347330878578
SPT(16)	1974483094215632183	0 24 36 74 98 120 240 284 330 374 494 516 540 578 590 614	-128988633546
SPT(16)	1974483436186221083	0 14 48 56 60 116 168 200 204 236 288 344 348 356 390 404	212981955354
STPT(10)	1974483756068292611	0 2 6 8 18 20 30 32 36 38	532864026882
SPT(16)	1974483794448381779	0 12 68 78 104 114 132 138 164 170 188 198 224 234 290 302	571244116050
SPT(16)	1974484015655407579	0 42 64 88 102 114 168 240 352 424 478 490 504 528 550 592	792451141850
STPT(12)	1974484041749194397	0 2 30 32 42 44 90 92 102 104 132 134	818544928668