Prime p₀= 2572059787649866271 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: amargo133
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2572057229978829401	0 2 6 8 48 50 90 92 96 98	-2557671036870
STPT(10)	2572057371071671097	0 2 24 26 42 44 60 62 84 86	-2416578195174
SPT(16)	2572057885934997923	0 60 84 128 170 176 180 194 210 224 228 234 276 320 344 404	-1901714868348
STPT(10)	2572058190338241929	0 2 18 20 30 32 42 44 60 62	-1597311624342
SPT(16)	2572059247032442001	0 32 126 216 228 288 308 330 398 420 440 500 512 602 696 728	-540617424270
SPT(16)	2572059715735988957	0 24 30 62 86 110 114 146 300 332 336 360 384 416 422 446	-71913877314
STPT(10)	2572059806856822827	0 2 30 32 42 44 54 56 84 86	19206956556
SPT(16)	2572059886972341541	0 12 58 72 100 112 118 130 138 150 156 168 196 210 256 268	99322475270
TPT(14)	2572060188779556311	0 2 90 92 198 200 300 302 306 308 336 338 378 380	401129690040
SPT(16)	2572060544936384093	0 30 50 54 78 98 140 144 170 174 216 236 260 264 284 314	757286517822
SPT(16)	2572060581284548391	0 20 50 72 90 92 108 342 368 602 618 620 638 660 690 710	793634682120