Prime p₀= 2026934277596383607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 58 2 4 2 58 2 22 2 (?)
a_n: 0 2 12 14 114 116 174 176 180 182 240 242 264 266
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=80, k=14, 10 100 58 4 58 22

SPT(16)	2026933401858862439	0 60 104 138 144 164 180 222 230 272 288 308 314 348 392 452	-875737521168
STPT(10)	2026933501024299779	0 2 18 20 30 32 42 44 60 62	-776572083828
SPT(16)	2026933832725917977	0 12 24 30 44 56 66 92 144 170 180 192 206 212 224 236	-444870465630
STPT(10)	2026934073393953147	0 2 12 14 72 74 132 134 144 146	-204202430460
STPT(10)	2026934096839729421	0 2 36 38 78 80 120 122 156 158	-180756654186
STPT(10)	2026934137840187921	0 2 36 38 78 80 120 122 156 158	-139756195686
SPT(16)	2026934487576799873	0 66 118 196 238 310 340 358 366 384 414 486 528 606 658 724	209980416266
SPT(16)	2026934553766488203	0 8 24 38 80 90 138 164 234 260 308 318 360 374 390 398	276170104596
SPT(16)	2026934703340410607	0 24 34 60 64 94 100 156 274 330 336 366 370 396 406 430	425744027000
SPT(16)	2026934829732917917	0 4 102 192 250 312 330 346 390 406 424 486 544 634 732 736	552136534310
STPT(10)	2026934836048789949	0 2 18 20 60 62 102 104 120 122	558452406342