Prime p₀= 2589593985921236027 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2589592527334312469	0 2 12 14 30 32 48 50 60 62	-1458586923558
STPT(10)	2589592736486533121	0 2 36 38 78 80 120 122 156 158	-1249434702906
SPT(18)	2589592970710397909	0 8 14 48 132 140 158 180 200 252 272 294 312 320 404 438 444 452	-1015210838118
SPT(16)	2589593285353788341	0 18 62 90 150 162 182 188 222 228 248 260 320 348 392 410	-700567447686
TPT(14)	2589593895705635591	0 2 90 92 108 110 120 122 246 248 258 260 318 320	-90215600436
TPT(14)	2589593909079007319	0 2 30 32 60 62 102 104 192 194 228 230 282 284	-76842228708
SPT(16)	2589594269202591311	0 56 62 66 108 138 146 188 300 342 350 380 422 426 432 488	283281355284
SPT(16)	2589594412364737681	0 30 36 106 150 186 190 192 226 228 232 268 312 382 388 418	426443501654
SPT(16)	2589594551284235353	0 18 24 60 94 108 118 144 244 270 280 294 328 364 370 388	565362999326
SPT(16)	2589595105926518699	0 8 32 72 92 140 182 230 270 318 360 408 428 468 492 500	1120005282672
STPT(10)	2589595355132834999	0 2 18 20 30 32 42 44 60 62	1369211598972