Prime p₀= 1164186259654272857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: mikey
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1164185207686542397	0 4 12 42 52 54 66 72 124 130 142 144 154 184 192 196	-1051967730460
STPT(10)	1164185235872868017	0 2 12 14 42 44 72 74 84 86	-1023781404840
SPT(16)	1164185287653361399	0 12 52 90 100 114 138 142 150 154 178 192 202 240 280 292	-972000911458
STPT(10)	1164185492742149231	0 2 6 8 48 50 90 92 96 98	-766912123626
STPT(10)	1164185711724952121	0 2 6 8 18 20 30 32 36 38	-547929320736
SPT(16)	1164185961042991309	0 42 90 118 174 180 234 250 252 268 322 328 384 412 460 502	-298611281548
SPT(16)	1164186297481857401	0 6 12 30 138 146 162 168 350 356 372 380 488 506 512 518	37827584544
SPT(16)	1164186357026985557	0 20 56 84 116 132 150 152 264 266 284 300 332 360 396 416	97372712700
STPT(10)	1164186385646458019	0 2 18 20 30 32 42 44 60 62	125992185162
TPT(14)	1164186502921646261	0 2 30 32 36 38 66 68 96 98 120 122 156 158	243267373404
STPT(10)	1164186652652887571	0 2 36 38 78 80 120 122 156 158	392998614714