Prime p₀= 2159985741982314809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 70 2 16 2 166 2 40 2 10 2 (?)
a_n: 0 2 120 122 192 194 210 212 378 380 420 422 432 434
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: 434
Found by: Landjunge
db: batch=81, k=14, 118 70 16 166 40 10

SPT(16)	2159984443861613227	0 42 82 126 154 160 166 280 306 420 426 432 460 504 544 586	-1298120701582
TPT(16)	2159984448441083447	0 2 42 44 54 56 162 164 210 212 414 416 462 464 474 476	-1293541231362
SPT(16)	2159984554161474853	0 10 46 66 150 186 190 226 234 270 274 310 394 414 450 460	-1187820839956
STPT(12)	2159984686645618667	0 2 132 134 174 176 240 242 282 284 414 416	-1055336696142
SPT(16)	2159984962536885481	0 6 48 118 156 216 228 238 258 268 280 340 378 448 490 496	-779445429328
STPT(10)	2159985004761617807	0 2 54 56 72 74 90 92 144 146	-737220697002
SPT(16)	2159985826759453367	0 36 50 56 86 104 134 174 206 246 276 294 324 330 344 380	84777138558
SPT(16)	2159985868414467799	0 4 12 40 72 82 150 160 192 202 270 280 312 340 348 352	126432152990
STPT(10)	2159985894006640001	0 2 30 32 78 80 126 128 156 158	152024325192
SPT(16)	2159985922700666833	0 36 40 58 66 100 106 126 178 198 204 238 246 264 268 304	180718352024
SPT(16)	2159986588869249649	0 34 54 82 94 150 174 190 222 238 262 318 330 358 378 412	846886934840