Prime p₀= 1458574622347234289 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=78, k=10, 2 16 2 10 2

STPT(12)	1458572505595334807	0 2 12 14 30 32 42 44 60 62 72 74	-2116751899482
SPT(16)	1458572613310885739	0 2 20 42 50 212 300 338 342 380 468 630 638 660 678 680	-2009036348550
SPT(16)	1458572769762178787	0 26 66 80 96 104 126 164 192 230 252 260 276 290 330 356	-1852585055502
STPT(10)	1458573620588838449	0 2 12 14 90 92 168 170 180 182	-1001758395840
SPT(16)	1458573786146021819	0 14 44 50 74 92 102 134 228 260 270 288 312 318 348 362	-836201212470
STPT(10)	1458574285417105709	0 2 108 110 210 212 312 314 420 422	-336930128580
STPT(10)	1458574742166451079	0 2 42 44 60 62 78 80 120 122	119819216790
SPT(16)	1458574810453559963	0 38 50 80 108 126 134 180 194 240 248 266 294 324 336 374	188106325674
SPT(16)	1458575071473766373	0 30 78 84 96 108 138 156 248 266 296 308 320 326 374 404	449126532084
SPT(16)	1458575496289056709	0 12 42 58 78 82 84 114 208 238 240 244 264 280 310 322	873941822420
TPT(14)	1458576336788815271	0 2 66 68 108 110 126 128 150 152 198 200 228 230	1714441580982