Prime p₀= 2343758982063394979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 118 2 22 2 58 2 88 2 (?)
a_n: 0 2 72 74 108 110 228 230 252 254 312 314 402 404
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: 404
Found by: Landjunge
db: batch=81, k=14, 70 34 118 22 58 88

STPT(10)	2343757429755930821	0 2 6 8 48 50 90 92 96 98	-1552307464158
SPT(16)	2343757982023706393	0 8 14 78 84 90 104 150 248 294 308 314 320 384 390 398	-1000039688586
SPT(16)	2343758217252746969	0 38 54 72 90 122 132 174 188 230 240 272 290 308 324 362	-764810648010
SPT(16)	2343758480361099107	0 36 54 56 62 92 132 150 206 224 264 294 300 302 320 356	-501702295872
SPT(16)	2343758599910175457	0 34 42 84 94 132 144 174 190 220 232 270 280 322 330 364	-382153219522
STPT(10)	2343758818272857267	0 2 60 62 72 74 84 86 144 146	-163790537712
STPT(10)	2343758996906523377	0 2 24 26 42 44 60 62 84 86	14843128398
SPT(20)	2343759513528063823	0 34 48 64 76 84 148 154 156 178 216 238 240 246 310 318 330 346 360 394	531464668844
SPT(16)	2343759618956356141	0 6 10 58 90 186 270 276 280 286 370 466 498 546 550 556	636892961162
SPT(16)	2343759652393419913	0 6 60 70 78 90 120 130 144 154 184 196 204 214 268 274	670330024934
TPT(14)	2343759653628180497	0 2 24 26 84 86 150 152 162 164 204 206 210 212	671564785518