Prime p₀= 2909369846106220811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 4 2 112 2 4 2 100 2 16 2 (?)
a_n: 0 2 150 152 156 158 270 272 276 278 378 380 396 398
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: 398
Found by: Landjunge
db: batch=82, k=14, 148 4 112 4 100 16

STPT(10)	2909369529353676209	0 2 18 20 30 32 42 44 60 62	-316752544602
TPT(14)	2909369545507954349	0 2 198 200 270 272 300 302 450 452 540 542 660 662	-300598266462
SPT(16)	2909369570805007759	0 40 60 124 142 232 250 282 430 462 480 570 588 652 672 712	-275301213052
SPT(16)	2909369590950690299	0 18 20 42 48 54 60 68 84 92 98 104 110 132 134 152	-255155530512
SPT(16)	2909369686754615731	0 12 28 58 70 82 148 168 232 252 318 330 342 372 388 400	-159351605080
SPT(16)	2909369768343162977	0 14 42 56 66 72 90 144 152 206 224 230 240 254 282 296	-77763057834
SPT(16)	2909370509085918403	0 4 16 64 66 70 106 120 130 144 180 184 186 234 246 250	662979697592
SPT(16)	2909370899073151153	0 46 60 84 154 160 186 190 270 274 300 306 376 400 414 460	1052966930342
SPT(16)	2909371093828000759	0 40 94 124 132 168 192 244 258 310 334 370 378 408 462 502	1247721779948
SPT(16)	2909371652868388303	0 10 16 30 114 136 144 178 186 220 228 250 334 348 354 364	1806762167492
STPT(10)	2909372301819826901	0 2 36 38 78 80 120 122 156 158	2455713606090