Prime p₀= 965874426168902867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 106 2 10 2 4 2 22 2 (?)
a_n: 0 2 24 26 114 116 222 224 234 236 240 242 264 266
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: stoneageman
db: batch=76, k=14, 22 88 106 10 4 22

STPT(10)	965873741484791339	0 2 48 50 90 92 132 134 180 182	-684684111528
SPT(16)	965873914126559689	0 10 40 54 60 94 118 154 198 234 258 292 298 312 342 352	-512042343178
SPT(16)	965874011601955333	0 78 106 154 160 168 174 180 184 190 196 204 210 258 286 364	-414566947534
TPT(16)	965874082706763407	0 2 84 86 90 92 102 104 114 116 240 242 270 272 372 374	-343462139460
SPT(16)	965874183766387171	0 28 52 66 70 78 90 118 210 238 250 258 262 276 300 328	-242402515696
SPT(16)	965874397968847139	0 2 24 38 42 62 128 212 420 504 570 590 594 608 630 632	-28200055728
STPT(10)	965874493058422301	0 2 6 8 48 50 90 92 96 98	66889519434
STPT(10)	965874595670278109	0 2 12 14 30 32 48 50 60 62	169501375242
SPT(16)	965875351465433939	0 14 38 78 80 84 98 104 138 144 158 162 164 204 228 242	925296531072
TPT(14)	965875398797896007	0 2 12 14 150 152 192 194 210 212 252 254 264 266	972628993140
SPT(16)	965875839249660191	0 66 80 116 168 210 212 242 306 336 338 380 432 468 482 548	1413080757324