Prime p₀= 2556537161005587671 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: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2556535830969686771	0 2 6 8 18 20 30 32 36 38	-1330035900900
SPT(16)	2556536191475306503	0 24 40 64 66 78 106 166 168 228 256 268 270 294 310 334	-969530281168
STPT(10)	2556536216770887059	0 2 18 20 60 62 102 104 120 122	-944234700612
SPT(16)	2556536608333519897	0 12 30 40 46 54 66 82 114 130 142 150 156 166 184 196	-552672067774
STPT(10)	2556537047097612947	0 2 30 32 42 44 54 56 84 86	-113907974724
SPT(16)	2556537073772225623	0 4 46 60 70 100 106 148 156 198 204 234 244 258 300 304	-87233362048
STPT(10)	2556537283078189907	0 2 12 14 42 44 72 74 84 86	122072602236
STPT(10)	2556537460161914399	0 2 18 20 60 62 102 104 120 122	299156326728
TPT(14)	2556537590003831891	0 2 6 8 78 80 90 92 120 122 156 158 210 212	428998244220
SPT(16)	2556537835698738079	0 60 82 88 192 198 220 240 322 342 364 370 474 480 502 562	674693150408
STPT(10)	2556537912802150061	0 2 36 38 78 80 120 122 156 158	751796562390