Prime p₀= 2307353604147319379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 118 2 10 2 28 2 (?)
a_n: 0 2 12 14 42 44 78 80 198 200 210 212 240 242
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: 242
Found by: Orange Kid
db: batch=81, k=14, 10 28 34 118 10 28

STPT(10)	2307352359765402707	0 2 84 86 162 164 240 242 324 326	-1244381916672
SPT(16)	2307352473556842997	0 24 36 76 94 120 136 154 186 204 220 246 264 304 316 340	-1130590476382
SPT(16)	2307352884600873647	0 24 54 66 110 116 126 150 266 290 300 306 350 362 392 416	-719546445732
SPT(16)	2307352920982320667	0 54 70 82 102 114 172 180 184 192 250 262 282 294 310 364	-683164998712
SPT(16)	2307353002864706569	0 28 54 64 70 90 154 160 168 174 238 258 264 274 300 328	-601282612810
SPT(16)	2307353309600770091	0 30 56 66 78 138 168 170 246 248 278 338 350 360 386 416	-294546549288
SPT(16)	2307354202634878109	0 72 102 164 174 192 212 240 242 270 290 308 318 380 410 482	598487558730
SPT(16)	2307354438574534477	0 16 22 76 102 150 154 156 190 192 196 244 270 324 330 346	834427215098
SPT(13)	2307354819775654801	0 6 42 150 252 276 306 336 360 462 570 606 612	1215628335422
STPT(10)	2307354829429111211	0 2 36 38 78 80 120 122 156 158	1225281791832
SPT(16)	2307354941429546149	0 12 42 72 78 100 124 138 154 168 192 214 220 250 280 292	1337282226770