Prime p₀= 2404898298474977309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 76 2 28 2 166 2 40 2 (?)
a_n: 0 2 90 92 132 134 210 212 240 242 408 410 450 452
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: 452
Found by: Josemi
db: batch=82, k=14, 88 40 76 28 166 40

TPT(14)	2404897311149076851	0 2 18 20 30 32 288 290 336 338 456 458 480 482	-987325900458
STPT(10)	2404897404168024551	0 2 36 38 78 80 120 122 156 158	-894306952758
SPT(16)	2404897434522955289	0 2 32 54 60 102 110 198 224 312 320 362 368 390 420 422	-863952022020
SPT(16)	2404897473771600569	0 42 90 158 188 210 230 242 258 270 290 312 342 410 458 500	-824703376740
STPT(10)	2404897847829275327	0 2 60 62 72 74 84 86 144 146	-450645701982
STPT(10)	2404897916906435981	0 2 30 32 60 62 90 92 120 122	-381568541328
STPT(10)	2404898390816698937	0 2 30 32 42 44 54 56 84 86	92341721628
TPT(14)	2404898716723659797	0 2 12 14 84 86 90 92 114 116 132 134 144 146	418248682488
SPT(16)	2404898806805995391	0 30 42 68 72 80 128 138 152 162 210 218 222 248 260 290	508331018082
SPT(16)	2404899106669233703	0 16 34 46 156 168 180 198 226 244 256 268 378 390 408 424	808194256394
SPT(16)	2404899623904433619	0 14 54 74 134 138 140 150 152 162 164 168 228 248 288 302	1325429456310