Prime p₀= 2596597855191990827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 58 2 40 2

STPT(10)	2596596861480453677	0 2 24 26 42 44 60 62 84 86	-993711537150
SPT(16)	2596596892319096809	0 4 18 22 24 48 90 120 142 172 214 238 240 244 258 262	-962872894018
STPT(10)	2596597253702841407	0 2 12 14 72 74 132 134 144 146	-601489149420
SPT(16)	2596597264957655623	0 28 54 58 94 124 138 156 208 226 240 270 306 310 336 364	-590234335204
SPT(16)	2596597393084248677	0 14 32 36 44 120 126 134 222 230 236 312 320 324 342 356	-462107742150
SPT(16)	2596597490090186417	0 6 42 72 92 150 162 182 240 260 272 330 350 380 416 422	-365101804410
STPT(10)	2596598363352700841	0 2 36 38 78 80 120 122 156 158	508160710014
SPT(16)	2596598479106228141	0 26 42 56 62 72 140 156 332 348 416 426 432 446 462 488	623914237314
SPT(16)	2596599457885983521	0 20 56 72 132 152 158 228 320 390 396 416 476 492 528 548	1602693992694
STPT(10)	2596599551716002137	0 2 30 32 42 44 54 56 84 86	1696524011310
TPT(14)	2596599679347288737	0 2 24 26 90 92 132 134 180 182 204 206 222 224	1824155297910