Prime p₀= 1232945522530963847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 10 2 196 2 40 2 28 2 (?)
a_n: 0 2 12 14 60 62 72 74 270 272 312 314 342 344
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: 344
Found by: Theadalus
db: batch=77, k=14, 10 46 10 196 40 28

SPT(16)	1232944197642994141	0 6 12 28 70 166 240 252 286 298 372 468 510 526 532 538	-1324887969706
STPT(10)	1232944294377446447	0 2 30 32 42 44 54 56 84 86	-1228153517400
SPT(16)	1232944379065606111	0 16 36 60 108 172 186 192 196 202 216 280 328 352 372 388	-1143465357736
SPT(16)	1232944548974974153	0 10 54 70 76 90 114 126 148 160 184 198 204 220 264 274	-973555989694
SPT(16)	1232944565746510621	0 28 30 42 58 120 130 148 180 198 208 270 286 298 300 328	-956784453226
SPT(16)	1232944885556833529	0 2 48 68 84 98 114 120 182 188 204 218 234 254 300 302	-636974130318
SPT(13)	1232945859889767433	0 36 78 90 120 126 168 210 216 246 258 300 336	337358803586
STPT(10)	1232945938166605097	0 2 30 32 42 44 54 56 84 86	415635641250
SPT(16)	1232946058425756487	0 16 42 46 66 106 130 154 222 246 270 310 330 334 360 376	535894792640
SPT(16)	1232946105758930707	0 30 82 124 154 162 172 190 204 222 232 240 270 312 364 394	583227966860
SPT(16)	1232946413148904913	0 18 30 44 78 86 120 140 174 194 228 236 270 284 296 314	890617941066