Prime p₀= 2166867561323980169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 4 2 148 2 28 2 (?)
a_n: 0 2 12 14 30 32 42 44 48 50 198 200 228 230
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: 230
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 10 16 10 4 148 28

SPT(16)	2166866790982904383	0 24 120 154 184 214 228 234 274 280 294 324 354 388 484 508	-770341075786
SPT(16)	2166866856047591521	0 10 18 82 106 228 246 250 258 262 280 402 426 490 498 508	-705276388648
SPT(16)	2166867051411754079	0 44 48 50 68 90 104 128 174 198 212 234 252 254 258 302	-509912226090
SPT(16)	2166867150979254001	0 12 28 106 126 136 180 210 328 358 402 412 432 510 526 538	-410344726168
SPT(16)	2166867295549239677	0 30 42 44 80 92 104 122 132 150 162 174 210 212 224 254	-265774740492
SPT(16)	2166867486512579597	0 14 32 54 60 96 120 132 194 206 230 266 272 294 312 326	-74811400572
TPT(14)	2166867608576411591	0 2 30 32 48 50 168 170 210 212 240 242 270 272	47252431422
STPT(10)	2166867958119542537	0 2 30 32 72 74 114 116 144 146	396795562368
SPT(16)	2166868001752633843	0 10 30 46 60 70 76 88 96 108 114 124 138 154 174 184	440428653674
STPT(10)	2166868009133282639	0 2 30 32 60 62 90 92 120 122	447809302470
SPT(16)	2166868170534461621	0 12 36 42 110 188 192 206 222 236 240 318 386 392 416 428	609210481452