Prime p₀= 2909333643596497517 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 22 2 58 2 64 2 82 2 (?)
a_n: 0 2 24 26 30 32 54 56 114 116 180 182 264 266
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: 266
Found by: Landjunge
db: batch=82, k=14, 22 4 22 58 64 82

STPT(10)	2909332630036466477	0 2 30 32 42 44 54 56 84 86	-1013560031040
SPT(16)	2909332788484200983	0 14 38 56 78 84 90 108 146 164 170 176 198 216 240 254	-855112296534
SPT(16)	2909333306099809027	0 10 60 64 66 82 96 102 154 160 174 190 192 196 246 256	-337496688490
SPT(16)	2909333486523364567	0 42 132 154 210 214 226 240 316 330 342 346 402 424 514 556	-157073132950
SPT(16)	2909333502596971913	0 38 68 78 80 138 156 198 206 248 266 324 326 336 366 404	-140999525604
SPT(16)	2909333638683241379	0 2 42 80 102 122 128 282 290 444 450 470 492 530 570 572	-4913256138
SPT(16)	2909333821534570607	0 62 80 84 104 150 170 204 212 246 266 312 332 336 354 416	177938073090
STPT(10)	2909334273226439321	0 2 6 8 48 50 90 92 96 98	629629941804
STPT(10)	2909334319353256367	0 2 42 44 72 74 102 104 144 146	675756758850
SPT(16)	2909334397560132463	0 84 108 120 148 238 330 336 538 544 636 726 754 766 790 874	753963634946
STPT(10)	2909334532896559091	0 2 30 32 78 80 126 128 156 158	889300061574