Prime p₀= 4503897718886178257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 136 2 10 2 40 2 34 2 40 2 (?)
a_n: 0 2 12 14 150 152 162 164 204 206 240 242 282 284
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: Antares2022
db: batch=85, k=14, 10 136 10 40 34 40

SPT(16)	4503896922365197979	0 138 180 188 224 234 242 270 272 300 308 318 354 362 404 542	-796520980278
SPT(16)	4503897449820494329	0 10 30 58 88 108 118 172 198 252 262 282 312 340 360 370	-269065683928
TPT(14)	4503897455967076961	0 2 66 68 138 140 180 182 336 338 378 380 510 512	-262919101296
SPT(16)	4503897567435252281	0 12 36 50 72 162 168 236 252 320 326 416 438 452 476 488	-151450925976
SPT(16)	4503897664333126849	0 12 30 70 72 82 100 142 210 252 270 280 282 322 340 352	-54553051408
SPT(16)	4503897706277607763	0 28 48 58 66 94 184 198 256 270 360 388 396 406 426 454	-12608570494
TPT(14)	4503897822701489339	0 2 30 32 78 80 108 110 150 152 162 164 210 212	103815311082
SPT(18)	4503898201563611077	0 22 94 96 184 216 226 232 262 264 294 300 310 342 430 432 504 526	482677432820
SPT(16)	4503898232746678949	0 54 78 102 122 140 144 218 294 368 372 390 410 434 458 512	513860500692
SPT(16)	4503898431795028069	0 12 30 82 88 102 112 130 150 168 178 192 198 250 268 280	712908849812
STPT(10)	4503898515683989319	0 2 18 20 30 32 42 44 60 62	796797811062