Prime p₀= 2799146304233455439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 10 2 40 2 16 2 16 2 22 2 (?)
a_n: 0 2 168 170 180 182 222 224 240 242 258 260 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 166 10 40 16 16 22

TPT(14)	2799145213475580887	0 2 84 86 150 152 162 164 282 284 360 362 372 374	-1090757874552
SPT(16)	2799145294006179271	0 10 112 118 126 178 196 238 240 282 300 352 360 366 468 478	-1010227276168
STPT(10)	2799145344138516557	0 2 30 32 60 62 90 92 120 122	-960094938882
SPT(16)	2799145417236482123	0 24 84 96 174 194 216 234 260 278 300 320 398 410 470 494	-886996973316
SPT(16)	2799145510407964603	0 6 90 96 106 124 168 198 256 286 330 348 358 364 448 454	-793825490836
SPT(16)	2799145905583116337	0 24 40 72 76 94 150 154 162 166 222 240 244 276 292 316	-398650339102
STPT(10)	2799146659804860119	0 2 18 20 30 32 42 44 60 62	355571404680
STPT(10)	2799146983012938359	0 2 42 44 90 92 138 140 180 182	678779482920
STPT(10)	2799146993720202449	0 2 42 44 60 62 78 80 120 122	689486747010
STPT(10)	2799147074339140631	0 2 78 80 138 140 198 200 276 278	770105685192
SPT(16)	2799147679434133343	0 18 38 66 110 170 206 210 224 228 264 324 368 396 416 434	1375200677904