Prime p₀= 2313528589852542311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 70 2 4 2 52 2 208 2 (?)
a_n: 0 2 30 32 138 140 210 212 216 218 270 272 480 482
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: 482
Found by: Orange Kid
db: batch=81, k=14, 28 106 70 4 52 208

SPT(16)	2313526705383751129	0 12 28 90 94 100 108 132 160 184 192 198 202 264 280 292	-1884468791182
SPT(16)	2313526925202292951	0 22 60 112 120 126 130 162 166 198 202 208 216 268 306 328	-1664650249360
SPT(16)	2313527152710152983	0 28 58 64 148 154 156 196 198 238 240 246 330 336 366 394	-1437142389328
SPT(16)	2313527523391237463	0 84 104 146 164 206 216 258 266 308 318 360 378 420 440 524	-1066461304848
SPT(16)	2313528066558217681	0 18 30 46 72 102 132 160 168 196 226 256 282 298 310 328	-523294324630
SPT(16)	2313528578619958759	0 22 48 52 90 94 112 114 118 120 138 142 180 184 210 232	-11232583552
STPT(10)	2313529316460757697	0 2 30 32 42 44 54 56 84 86	726608215386
SPT(16)	2313529588782933373	0 28 54 84 100 160 166 186 208 228 234 294 310 340 366 394	998930391062
SPT(16)	2313529593749974583	0 48 60 78 126 158 168 176 210 218 228 260 308 326 338 386	1003897432272
SPT(16)	2313529694702549383	0 4 30 34 60 78 88 90 154 156 166 184 210 214 240 244	1104850007072
SPT(16)	2313530094221472601	0 28 48 52 132 166 168 178 210 220 222 256 336 340 360 388	1504368930290