Prime p₀= 2170751180595683249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 82 2 34 2 28 2 (?)
a_n: 0 2 18 20 42 44 48 50 132 134 168 170 198 200
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: 200
Found by: Penguin
db: batch=81, k=14, 16 22 4 82 34 28

SPT(16)	2170750518002537993	0 8 14 18 54 56 110 120 134 144 198 200 236 240 246 254	-662593145256
SPT(16)	2170750537603389143	0 48 50 90 128 140 150 156 188 194 204 216 254 294 296 344	-642992294106
SPT(16)	2170750656001901179	0 34 52 64 84 90 112 154 240 282 304 310 330 342 360 394	-524593782070
SPT(16)	2170750780465352611	0 22 30 36 42 82 88 130 138 180 186 226 232 238 246 268	-400130330638
STPT(10)	2170751002571956487	0 2 42 44 72 74 102 104 144 146	-178023726762
STPT(10)	2170751137734224987	0 2 30 32 42 44 54 56 84 86	-42861458262
STPT(10)	2170751184223664639	0 2 18 20 60 62 102 104 120 122	3627981390
TPT(14)	2170751319155497607	0 2 12 14 72 74 102 104 240 242 312 314 324 326	138559814358
SPT(16)	2170751342020573603	0 48 70 76 96 100 118 120 124 126 144 148 168 174 196 244	161424890354
SPT(16)	2170751472564685643	0 20 146 156 168 210 216 230 234 248 254 296 308 318 444 464	291969002394
SPT(16)	2170751604002764127	0 36 42 56 102 116 132 144 272 284 300 314 360 374 380 416	423407080878