Prime p₀= 2338764874347062069 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 64 2 28 2 52 2 16 2 (?)
a_n: 0 2 30 32 42 44 108 110 138 140 192 194 210 212
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: 212
Found by: Landjunge
db: batch=81, k=14, 28 10 64 28 52 16

TPT(14)	2338763481001856141	0 2 30 32 36 38 48 50 78 80 126 128 198 200	-1393345205928
SPT(16)	2338763502820020167	0 6 20 72 140 150 162 170 216 224 236 246 314 366 380 386	-1371527041902
SPT(16)	2338763513359172891	0 12 66 102 120 140 158 168 200 210 228 248 266 302 356 368	-1360987889178
STPT(10)	2338763750138726087	0 2 60 62 72 74 84 86 144 146	-1124208335982
STPT(10)	2338764756649059689	0 2 18 20 30 32 42 44 60 62	-117698002380
SPT(16)	2338764798886948903	0 48 70 78 100 148 216 228 256 268 336 384 406 414 436 484	-75460113166
SPT(16)	2338765125657424367	0 14 26 56 186 200 222 224 252 254 276 290 420 450 462 476	251310362298
SPT(16)	2338765138935130051	0 18 40 42 58 60 76 126 172 222 238 240 256 258 280 298	264588067982
SPT(16)	2338765368330264043	0 16 70 100 120 126 136 186 244 294 304 310 330 360 414 430	493983201974
STPT(10)	2338765714528428347	0 2 30 32 42 44 54 56 84 86	840181366278
STPT(10)	2338765723306370621	0 2 6 8 48 50 90 92 96 98	848959308552