Prime p₀= 2570419166798260847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2570418305603103607	0 36 40 46 70 72 106 126 166 186 220 222 246 252 256 292	-861195157240
SPT(16)	2570418441196349701	0 18 28 40 48 58 88 118 180 210 240 250 258 270 280 298	-725601911146
TPT(16)	2570418801267803531	0 2 48 50 66 68 78 80 90 92 168 170 180 182 258 260	-365530457316
SPT(16)	2570418807995540413	0 16 36 46 168 220 228 234 280 286 294 346 468 478 498 514	-358802720434
STPT(10)	2570418995824481687	0 2 12 14 42 44 72 74 84 86	-170973779160
STPT(10)	2570419091708389247	0 2 60 62 72 74 84 86 144 146	-75089871600
STPT(10)	2570419218877149329	0 2 18 20 30 32 42 44 60 62	52078888482
SPT(16)	2570419578402760793	0 20 30 56 74 80 86 90 140 144 150 156 174 200 210 230	411604499946
SPT(16)	2570419669272616979	0 12 90 110 212 270 272 314 318 360 362 420 522 542 620 632	502474356132
SPT(16)	2570419790314953013	0 28 30 66 76 118 120 138 178 196 198 240 250 286 288 316	623516692166
SPT(16)	2570420124848878567	0 12 40 42 52 82 100 150 172 222 240 270 280 282 310 322	958050617720