Prime p₀= 853544684138826731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: GLeeM
db: batch=73, k=10, 2 4 2 10 2

SPT(16)	853543800658845973	0 4 18 28 66 84 130 186 238 294 340 358 396 406 420 424	-883479980758
SPT(16)	853543844756303461	0 48 70 78 138 172 186 222 406 442 456 490 550 558 580 628	-839382523270
STPT(12)	853544253906400937	0 2 150 152 192 194 270 272 312 314 462 464	-430232425794
TPT(14)	853544525122990529	0 2 48 50 108 110 162 164 342 344 360 362 402 404	-159015836202
STPT(10)	853544594092043339	0 2 48 50 90 92 132 134 180 182	-90046783392
STPT(10)	853544652619602257	0 2 30 32 42 44 54 56 84 86	-31519224474
SPT(16)	853544726550559793	0 50 54 66 116 140 144 150 170 176 180 204 254 266 270 320	42411733062
SPT(16)	853544806296890819	0 18 42 80 108 140 168 198 284 314 342 374 402 440 464 482	122158064088
TPT(14)	853546016440253789	0 2 48 50 78 80 132 134 240 242 300 302 312 314	1332301427058
SPT(16)	853546425120331669	0 18 24 48 52 130 150 192 580 622 642 720 724 748 754 772	1740981504938
SPT(16)	853546542186842177	0 6 24 50 120 126 146 176 204 234 254 260 330 356 374 380	1858048015446