Prime p₀= 2913807510973603331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 40 2 10 2 34 2 40 2 (?)
a_n: 0 2 90 92 126 128 168 170 180 182 216 218 258 260
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: 260
Found by: Landjunge
db: batch=82, k=14, 88 34 40 10 34 40

SPT(16)	2913806866959560839	0 4 12 22 42 72 88 144 208 264 280 310 330 340 348 352	-644014042492
SPT(16)	2913807002554776061	0 6 10 18 70 76 88 126 142 180 192 198 250 258 262 268	-508418827270
STPT(10)	2913807192120943709	0 2 42 44 90 92 138 140 180 182	-318852659622
TPT(16)	2913807348131017439	0 2 90 92 138 140 168 170 210 212 252 254 390 392 402 404	-162842585892
SPT(16)	2913807416164779523	0 28 34 48 70 78 190 214 240 264 376 384 406 420 426 454	-94808823808
TPT(14)	2913807455932746431	0 2 36 38 60 62 198 200 216 218 240 242 288 290	-55040856900
SPT(16)	2913807781151921729	0 14 20 60 104 152 164 204 290 330 342 390 434 474 480 494	270178318398
STPT(10)	2913807847913167451	0 2 36 38 78 80 120 122 156 158	336939564120
SPT(16)	2913807979467728899	0 22 70 150 154 180 184 210 262 288 292 318 322 402 450 472	468494125568
SPT(16)	2913807995975843357	0 6 20 42 72 80 114 132 164 182 216 224 254 276 290 296	485002240026
SPT(16)	2913808289091937877	0 12 54 84 134 180 182 204 320 342 344 390 440 470 512 524	778118334546