Prime p₀= 2367506755328862611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 10 2 58 2 76 2 58 2 (?)
a_n: 0 2 36 38 48 50 60 62 120 122 198 200 258 260
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: 260
Found by: Landjunge
db: batch=81, k=14, 34 10 10 58 76 58

SPT(16)	2367505090312431197	0 56 60 62 116 146 156 186 200 230 240 270 324 326 330 386	-1665016431414
SPT(16)	2367505166274052127	0 14 26 32 86 102 114 122 144 152 164 180 234 240 252 266	-1589054810484
TPT(14)	2367505338630796289	0 2 48 50 72 74 102 104 228 230 288 290 342 344	-1416698066322
SPT(16)	2367506120647493237	0 12 14 32 60 114 150 224 252 326 362 416 444 462 464 476	-634681369374
SPT(16)	2367506175022239127	0 22 30 64 90 112 120 144 172 196 204 226 252 286 294 316	-580306623484
SPT(16)	2367506549524263803	0 8 18 60 146 174 194 210 284 300 320 348 434 476 486 494	-205804598808
SPT(16)	2367506849224834607	0 42 50 86 104 114 132 140 156 164 182 192 210 246 254 296	93895971996
STPT(10)	2367507235012061027	0 2 54 56 72 74 90 92 144 146	479683198416
SPT(16)	2367507881677355579	0 12 18 24 30 42 84 108 114 138 180 192 198 204 210 222	1126348492968
TPT(14)	2367508221225976091	0 2 48 50 90 92 96 98 180 182 228 230 258 260	1465897113480
STPT(10)	2367508761589399427	0 2 24 26 42 44 60 62 84 86	2006260536816