Prime p₀= 2494792570334567537 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: Hightower
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2494791886454120909	0 24 38 62 78 84 132 134 138 140 188 194 210 234 248 272	-683880446628
STPT(10)	2494792043058811919	0 2 12 14 150 152 288 290 300 302	-527275755618
SPT(16)	2494792050800578201	0 70 238 270 292 298 312 348 352 388 402 408 430 462 630 700	-519533989336
SPT(16)	2494792408213116227	0 56 84 102 132 150 186 194 222 230 266 284 314 332 360 416	-162121451310
STPT(10)	2494792495854082679	0 2 48 50 90 92 132 134 180 182	-74480484858
SPT(16)	2494792522158440377	0 4 42 82 90 130 142 186 250 294 306 346 354 394 432 436	-48176127160
SPT(16)	2494792678699572191	0 2 20 26 96 132 140 150 212 222 230 266 336 342 360 362	108365004654
SPT(16)	2494792733361385759	0 58 84 102 108 120 154 184 198 228 262 274 280 298 324 382	163026818222
TPT(14)	2494793116902461741	0 2 18 20 60 62 90 92 120 122 156 158 168 170	546567894204
STPT(10)	2494793447003321159	0 2 12 14 90 92 168 170 180 182	876668753622
STPT(10)	2494793684159137181	0 2 6 8 18 20 30 32 36 38	1113824569644