Prime p₀= 2127557401116598667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Donn Pike (USAF Ret)
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2127556165398592829	0 14 24 50 62 104 108 138 344 374 378 420 432 458 468 482	-1235718005838
STPT(10)	2127556244797110929	0 2 42 44 90 92 138 140 180 182	-1156319487738
SPT(18)	2127556526398506701	0 2 12 72 116 168 182 210 212 276 278 306 320 372 416 476 486 488	-874718091966
SPT(16)	2127556696220108717	0 50 56 102 110 116 134 144 212 222 240 246 254 300 306 356	-704896489950
SPT(16)	2127556864477175281	0 36 118 126 192 210 238 250 288 300 328 346 412 420 502 538	-536639423386
STPT(10)	2127557051385621017	0 2 30 32 42 44 54 56 84 86	-349730977650
STPT(10)	2127557836275837521	0 2 6 8 48 50 90 92 96 98	435159238854
SPT(16)	2127558070695239839	0 4 10 24 70 88 90 108 160 178 180 198 244 258 264 268	669578641172
SPT(16)	2127558157274409413	0 30 66 98 108 116 138 140 264 266 288 296 306 338 374 404	756157810746
SPT(16)	2127558336091137701	0 86 126 138 146 156 180 206 240 266 290 300 308 320 360 446	934974539034
TPT(14)	2127558397420271129	0 2 42 44 108 110 198 200 318 320 378 380 402 404	996303672462