Prime p₀= 830369997720204341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 40 2 28 2 58 2 40 2 (?)
a_n: 0 2 30 32 36 38 78 80 108 110 168 170 210 212
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: 212
Found by: marmot
db: batch=73, k=14, 28 4 40 28 58 40

SPT(16)	830369289904996931	0 20 36 42 56 96 110 180 272 342 356 396 410 416 432 452	-707815207410
SPT(16)	830369584902771707	0 44 96 114 120 252 294 302 384 392 434 566 572 590 642 686	-412817432634
STPT(10)	830369600955581117	0 2 54 56 72 74 90 92 144 146	-396764623224
SPT(16)	830369633746752427	0 34 72 94 130 150 174 180 256 262 286 306 342 364 402 436	-363973451914
SPT(18)	830369903349550063	0 34 36 40 76 78 84 100 108 166 174 190 196 198 234 238 240 274	-94370654278
STPT(10)	830369903982194711	0 2 36 38 78 80 120 122 156 158	-93738009630
SPT(16)	830370090566065087	0 30 76 100 106 114 192 262 264 334 412 420 426 450 496 526	92845860746
SPT(16)	830370311753623327	0 16 36 70 114 136 150 172 294 316 330 352 396 430 450 466	314033418986
SPT(16)	830370638150479213	0 28 30 36 60 78 84 100 144 160 166 184 208 214 216 244	640430274872
STPT(10)	830370750137257499	0 2 18 20 60 62 102 104 120 122	752417053158
STPT(10)	830370790099106951	0 2 30 32 78 80 126 128 156 158	792378902610