Prime p₀= 952675234154485529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 82 2 154 2 22 2 46 2 136 2 (?)
a_n: 0 2 198 200 282 284 438 440 462 464 510 512 648 650
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: 650
Found by: stoneageman
db: batch=76, k=14, 196 82 154 22 46 136

SPT(16)	952673931847052797	0 42 46 154 166 226 306 316 330 340 420 480 492 600 604 646	-1302307432732
STPT(10)	952673933285978549	0 2 48 50 60 62 72 74 120 122	-1300868506980
SPT(16)	952673983739929471	0 12 28 60 82 88 102 126 172 196 210 216 238 270 286 298	-1250414556058
TPT(14)	952674025806476429	0 2 30 32 162 164 288 290 330 332 360 362 420 422	-1208348009100
SPT(16)	952674715378079909	0 8 48 62 90 92 120 158 204 242 270 272 300 314 354 362	-518776405620
SPT(16)	952675054605243043	0 16 48 60 64 70 100 126 148 174 204 210 214 226 258 274	-179549242486
SPT(16)	952675604100629891	0 48 62 86 102 126 140 150 188 198 212 236 252 276 290 338	369946144362
STPT(10)	952675686120580061	0 2 6 8 48 50 90 92 96 98	451966094532
STPT(10)	952676213713727021	0 2 36 38 78 80 120 122 156 158	979559241492
SPT(16)	952676434051199567	0 6 14 20 80 84 86 164 216 294 296 300 360 366 374 380	1199896714038
SPT(16)	952677110404193099	0 2 8 24 72 78 144 150 182 188 254 260 308 324 330 332	1876249707570