Prime p₀= 2926757036845583801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 136 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 30 32 168 170 186 188 210 212 228 230 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 28 136 16 22 16 40

SPT(16)	2926755420226355789	0 12 38 54 60 78 80 162 200 282 284 302 308 324 350 362	-1616619228012
STPT(10)	2926755497146741259	0 2 18 20 30 32 42 44 60 62	-1539698842542
STPT(10)	2926755764953694417	0 2 42 44 72 74 102 104 144 146	-1271891889384
SPT(16)	2926756010926736789	0 8 38 72 108 114 138 150 152 164 188 194 230 264 294 302	-1025918847012
SPT(16)	2926756935153537281	0 66 116 146 162 188 206 236 342 372 390 416 432 462 512 578	-101692046520
STPT(10)	2926757032109738417	0 2 42 44 72 74 102 104 144 146	-4735845384
SPT(16)	2926757364503302007	0 32 74 84 90 96 152 222 524 594 650 656 662 672 714 746	327657718206
STPT(10)	2926758651306283229	0 2 42 44 60 62 78 80 120 122	1614460699428
STPT(10)	2926758832317577217	0 2 72 74 102 104 132 134 204 206	1795471993416
SPT(16)	2926759823096600039	0 24 98 104 138 150 164 168 194 198 212 224 258 264 338 362	2786251016238
SPT(16)	2926759867356144773	0 30 74 78 90 98 104 108 140 144 150 158 170 174 218 248	2830510560972