Prime p₀= 2290549789476196667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2290548434450224073	0 24 26 48 86 110 114 116 138 140 144 168 206 228 230 254	-1355025972594
SPT(16)	2290548765742431989	0 20 42 98 110 132 138 152 168 182 188 210 222 278 300 320	-1023733764678
STPT(10)	2290548832983138071	0 2 36 38 78 80 120 122 156 158	-956493058596
TPT(14)	2290548867077987849	0 2 60 62 132 134 168 170 222 224 258 260 282 284	-922398208818
STPT(10)	2290549307631663341	0 2 6 8 48 50 90 92 96 98	-481844533326
STPT(10)	2290549476795513119	0 2 42 44 90 92 138 140 180 182	-312680683548
SPT(16)	2290550317936153939	0 4 24 40 42 54 64 108 184 228 238 250 252 268 288 292	528459957272
STPT(10)	2290550651890694117	0 2 12 14 42 44 72 74 84 86	862414497450
STPT(10)	2290550665604623061	0 2 6 8 48 50 90 92 96 98	876128426394
STPT(10)	2290550879655133391	0 2 6 8 18 20 30 32 36 38	1090178936724
SPT(16)	2290551373427851757	0 12 72 80 84 152 164 212 252 300 312 380 384 392 452 464	1583951655090