Prime p₀= 1458574285417105709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 100 2 100 2 106 2 (?)
a_n: 0 2 108 110 210 212 312 314 420 422
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: 422
Found by: Theadalus
db: batch=78, k=10, 2 106 2 100 2

TPT(14)	1458572478841372679	0 2 12 14 30 32 42 44 72 74 78 80 108 110	-1806575733030
STPT(12)	1458572505595334807	0 2 12 14 30 32 42 44 60 62 72 74	-1779821770902
SPT(16)	1458572613310885739	0 2 20 42 50 212 300 338 342 380 468 630 638 660 678 680	-1672106219970
SPT(16)	1458572769762178787	0 26 66 80 96 104 126 164 192 230 252 260 276 290 330 356	-1515654926922
STPT(10)	1458573620588838449	0 2 12 14 90 92 168 170 180 182	-664828267260
SPT(16)	1458573786146021819	0 14 44 50 74 92 102 134 228 260 270 288 312 318 348 362	-499271083890
STPT(10)	1458574622347234289	0 2 18 20 30 32 42 44 60 62	336930128580
STPT(10)	1458574742166451079	0 2 42 44 60 62 78 80 120 122	456749345370
SPT(16)	1458574810453559963	0 38 50 80 108 126 134 180 194 240 248 266 294 324 336 374	525036454254
SPT(16)	1458575071473766373	0 30 78 84 96 108 138 156 248 266 296 308 320 326 374 404	786056660664
SPT(16)	1458575496289056709	0 12 42 58 78 82 84 114 208 238 240 244 264 280 310 322	1210871951000