Prime p₀= 2069649669675760559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 28 2 64 2 40 2 (?)
a_n: 0 2 30 32 48 50 72 74 102 104 168 170 210 212
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=80, k=14, 28 16 22 28 64 40

SPT(16)	2069648029339719427	0 4 60 84 100 114 144 180 286 322 352 366 382 406 462 466	-1640336041132
SPT(16)	2069648301406908581	0 2 6 50 98 128 140 150 188 198 210 240 288 332 336 338	-1368268851978
SPT(16)	2069648825212728307	0 4 30 70 150 172 274 276 400 402 504 526 606 646 672 676	-844463032252
SPT(16)	2069649262978638457	0 12 30 42 54 70 72 84 100 112 114 130 142 154 172 184	-406697122102
STPT(10)	2069649494817221417	0 2 60 62 72 74 84 86 144 146	-174858539142
SPT(16)	2069649505755192961	0 6 96 106 120 162 196 222 316 342 376 418 432 442 532 538	-163920567598
SPT(20)	2069649993028894631	0 6 12 36 62 68 102 120 146 176 192 222 248 266 300 306 332 356 362 368	323353134072
STPT(10)	2069650798512093491	0 2 30 32 60 62 90 92 120 122	1128836332932
SPT(16)	2069651253715666589	0 20 30 44 48 68 80 108 194 222 234 254 258 272 282 302	1584039906030
SPT(16)	2069651377197766847	0 2 72 114 144 156 174 206 210 242 260 272 302 344 414 416	1707522006288
SPT(16)	2069651459274732139	0 52 120 210 234 240 244 268 294 318 322 328 352 442 510 562	1789598971580