Prime p₀= 2570418995824481687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: fake
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2570416664731197977	0 2 90 92 102 104 114 116 204 206	-2331093283710
SPT(16)	2570418029274515471	0 18 72 86 108 156 176 188 270 282 302 350 372 386 440 458	-966549966216
SPT(16)	2570418305603103607	0 36 40 46 70 72 106 126 166 186 220 222 246 252 256 292	-690221378080
SPT(16)	2570418441196349701	0 18 28 40 48 58 88 118 180 210 240 250 258 270 280 298	-554628131986
TPT(16)	2570418801267803531	0 2 48 50 66 68 78 80 90 92 168 170 180 182 258 260	-194556678156
SPT(16)	2570418807995540413	0 16 36 46 168 220 228 234 280 286 294 346 468 478 498 514	-187828941274
STPT(10)	2570419091708389247	0 2 60 62 72 74 84 86 144 146	95883907560
STPT(10)	2570419166798260847	0 2 24 26 42 44 60 62 84 86	170973779160
STPT(10)	2570419218877149329	0 2 18 20 30 32 42 44 60 62	223052667642
SPT(16)	2570419578402760793	0 20 30 56 74 80 86 90 140 144 150 156 174 200 210 230	582578279106
SPT(16)	2570419669272616979	0 12 90 110 212 270 272 314 318 360 362 420 522 542 620 632	673448135292