Prime p₀= 4458423599350559219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 196 2 88 2 70 2 16 2 10 2 (?)
a_n: 0 2 12 14 210 212 300 302 372 374 390 392 402 404
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: 404
Found by: vonboedefeldt
db: batch=85, k=14, 10 196 88 70 16 10

SPT(16)	4458422556030342671	0 102 116 120 140 146 158 200 258 300 312 318 338 342 356 458	-1043320216548
STPT(10)	4458422630047926479	0 2 18 20 30 32 42 44 60 62	-969302632740
STPT(16)	4458422727448581119	0 2 48 50 72 74 132 134 138 140 198 200 222 224 270 272	-871901978100
TPT(16)	4458422727448581119	0 2 48 50 72 74 132 134 138 140 198 200 222 224 270 272	-871901978100
SPT(16)	4458422727448581119	0 2 48 50 72 74 132 134 138 140 198 200 222 224 270 272	-871901978100
STPT(10)	4458423398416493321	0 2 6 8 48 50 90 92 96 98	-200934065898
SPT(16)	4458423601160097509	0 2 14 84 128 198 212 240 272 300 314 384 428 498 510 512	1809538290
SPT(16)	4458423792559185353	0 24 36 50 84 86 104 146 354 396 414 416 450 464 476 500	193208626134
SPT(16)	4458423860344137757	0 72 76 82 106 120 126 150 292 316 322 336 360 366 370 442	260993578538
SPT(16)	4458424342284488603	0 14 48 86 104 188 200 230 234 264 276 360 378 416 450 464	742933929384
SPT(16)	4458424538293624883	0 14 50 84 218 228 264 270 284 290 326 336 470 504 540 554	938943065664