Prime p₀= 952674025806476429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 130 2 124 2 40 2 28 2 58 2 (?)
a_n: 0 2 30 32 162 164 288 290 330 332 360 362 420 422
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: 422
Found by: stoneageman
db: batch=76, k=14, 28 130 124 40 28 58

TPT(14)	952673562036005219	0 2 18 20 90 92 198 200 258 260 300 302 390 392	-463770471210
SPT(16)	952673718913343377	0 34 70 82 112 136 144 172 174 202 210 234 264 276 312 346	-306893133052
SPT(16)	952673817946921561	0 10 18 40 58 60 142 192 256 306 388 390 408 430 438 448	-207859554868
SPT(16)	952673931847052797	0 42 46 154 166 226 306 316 330 340 420 480 492 600 604 646	-93959423632
STPT(10)	952673933285978549	0 2 48 50 60 62 72 74 120 122	-92520497880
SPT(16)	952673983739929471	0 12 28 60 82 88 102 126 172 196 210 216 238 270 286 298	-42066546958
SPT(16)	952674715378079909	0 8 48 62 90 92 120 158 204 242 270 272 300 314 354 362	689571603480
SPT(16)	952675054605243043	0 16 48 60 64 70 100 126 148 174 204 210 214 226 258 274	1028798766614
TPT(14)	952675234154485529	0 2 198 200 282 284 438 440 462 464 510 512 648 650	1208348009100
SPT(16)	952675604100629891	0 48 62 86 102 126 140 150 188 198 212 236 252 276 290 338	1578294153462
STPT(10)	952675686120580061	0 2 6 8 48 50 90 92 96 98	1660314103632