Prime p₀= 2162147500291976801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 40 2 124 2 40 2 10 2 (?)
a_n: 0 2 6 8 48 50 90 92 216 218 258 260 270 272
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: Landjunge
db: batch=81, k=14, 4 40 40 124 40 10

SPT(16)	2162146917408208987	0 42 54 64 72 76 112 132 154 174 210 214 222 232 244 286	-582883767814
STPT(10)	2162147009255751611	0 2 30 32 60 62 90 92 120 122	-491036225190
SPT(16)	2162147011570623347	0 6 20 116 132 180 272 294 362 384 476 524 540 636 650 656	-488721353454
SPT(16)	2162147112357648467	0 20 30 120 126 164 176 252 254 330 342 380 386 476 486 506	-387934328334
SPT(16)	2162147207995676833	0 16 24 78 84 126 150 154 270 274 298 340 346 400 408 424	-292296299968
STPT(10)	2162147385974218397	0 2 60 62 72 74 84 86 144 146	-114317758404
SPT(16)	2162148301156244459	0 50 104 120 132 134 182 188 234 240 288 290 302 318 372 422	800864267658
SPT(16)	2162148322901600497	0 22 34 52 70 126 136 142 204 210 220 276 294 312 324 346	822609623696
SPT(16)	2162148365976198463	0 28 66 76 84 96 118 120 154 156 178 190 198 208 246 274	865684221662
SPT(16)	2162149499711180701	0 12 22 28 40 60 100 102 148 150 190 210 222 228 238 250	1999419203900
TPT(14)	2162149548230933837	0 2 30 32 42 44 90 92 114 116 120 122 144 146	2047938957036