Prime p₀= 2398585561011681257 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: Penguin
db: batch=82, k=10, 2 58 2 10 2

STPT(10)	2398584884453565719	0 2 18 20 30 32 42 44 60 62	-676558115538
SPT(16)	2398585000337915707	0 42 54 70 82 142 174 196 390 412 444 504 516 532 544 586	-560673765550
SPT(16)	2398585054964788447	0 16 114 142 150 174 190 192 244 246 262 286 294 322 420 436	-506046892810
SPT(16)	2398585106863805347	0 42 64 124 126 132 166 204 262 300 334 340 342 402 424 466	-454147875910
STPT(10)	2398585244541267401	0 2 6 8 48 50 90 92 96 98	-316470413856
SPT(16)	2398585420356672629	0 14 18 38 42 60 134 144 158 168 242 260 264 284 288 302	-140655008628
STPT(10)	2398586123702179727	0 2 30 32 42 44 54 56 84 86	562690498470
STPT(10)	2398586245407584129	0 2 42 44 60 62 78 80 120 122	684395902872
SPT(16)	2398586425977945353	0 38 44 66 78 80 96 156 218 278 294 296 308 330 336 374	864966264096
SPT(16)	2398586542622407183	0 16 18 28 36 54 88 118 126 156 190 208 216 226 228 244	981610725926
SPT(16)	2398586893057158371	0 18 60 68 98 120 122 152 168 198 200 222 252 260 302 320	1332045477114