Prime p₀= 2373839182228470491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 28 2 52 2 16 2 10 2 (?)
a_n: 0 2 6 8 36 38 66 68 120 122 138 140 150 152
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: 152
Found by: Landjunge
db: batch=81, k=14, 4 28 28 52 16 10

TPT(14)	2373838475034081941	0 2 18 20 30 32 96 98 138 140 156 158 198 200	-707194388550
SPT(18)	2373838662747612017	0 6 24 26 62 66 74 80 84 122 126 132 140 144 180 182 200 206	-519480858474
TPT(14)	2373838736420874299	0 2 150 152 258 260 288 290 330 332 390 392 420 422	-445807596192
SPT(16)	2373838830670162147	0 22 24 64 102 190 210 220 246 256 276 364 402 442 444 466	-351558308344
SPT(18)	2373838956881937607	0 24 112 130 132 144 154 192 214 222 244 282 292 304 306 324 412 436	-225346532884
SPT(16)	2373839093169100483	0 36 40 54 66 78 108 136 138 166 196 208 220 234 238 274	-89059370008
SPT(20)	2373839270733776023	0 28 66 70 76 84 90 94 96 106 168 178 180 184 190 198 204 208 246 274	88505305532
STPT(10)	2373839338142727197	0 2 30 32 42 44 54 56 84 86	155914256706
SPT(16)	2373839538551012431	0 12 16 40 78 96 126 130 138 142 172 190 228 252 256 268	356322541940
STPT(10)	2373839730989546387	0 2 12 14 42 44 72 74 84 86	548761075896
SPT(16)	2373840009542211803	0 6 20 38 90 110 126 138 236 248 264 284 336 354 368 374	827313741312