Prime p₀= 4458423398416493321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 98
Found by: vonboedefeldt
db: batch=85, k=10, 2 4 2 40 2

STPT(10)	4458421844560008497	0 2 12 14 42 44 72 74 84 86	-1553856484824
SPT(16)	4458422556030342671	0 102 116 120 140 146 158 200 258 300 312 318 338 342 356 458	-842386150650
STPT(10)	4458422630047926479	0 2 18 20 30 32 42 44 60 62	-768368566842
SPT(16)	4458422727448581119	0 2 48 50 72 74 132 134 138 140 198 200 222 224 270 272	-670967912202
STPT(16)	4458422727448581119	0 2 48 50 72 74 132 134 138 140 198 200 222 224 270 272	-670967912202
TPT(16)	4458422727448581119	0 2 48 50 72 74 132 134 138 140 198 200 222 224 270 272	-670967912202
TPT(14)	4458423599350559219	0 2 12 14 210 212 300 302 372 374 390 392 402 404	200934065898
SPT(16)	4458423601160097509	0 2 14 84 128 198 212 240 272 300 314 384 428 498 510 512	202743604188
SPT(16)	4458423792559185353	0 24 36 50 84 86 104 146 354 396 414 416 450 464 476 500	394142692032
SPT(16)	4458423860344137757	0 72 76 82 106 120 126 150 292 316 322 336 360 366 370 442	461927644436
SPT(16)	4458424342284488603	0 14 48 86 104 188 200 230 234 264 276 360 378 416 450 464	943867995282