Prime p₀= 2514121588137805727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2514120095163129139	0 12 52 60 88 102 108 120 130 142 148 162 190 198 238 250	-1492974676588
SPT(16)	2514120186990256909	0 22 42 52 54 70 100 124 138 162 192 208 210 220 240 262	-1401147548818
SPT(16)	2514120254422764919	0 60 70 112 130 144 148 172 180 204 208 222 240 282 292 352	-1333715040808
STPT(12)	2514121004543362127	0 2 12 14 42 44 60 62 90 92 102 104	-583594443600
STPT(10)	2514121182405729971	0 2 6 8 48 50 90 92 96 98	-405732075756
STPT(10)	2514121245128728601	0 2 36 38 78 80 120 122 156 158	-343009077126
STPT(10)	2514122435357061377	0 2 30 32 60 62 90 92 120 122	847219255650
SPT(16)	2514122700684751489	0 58 88 90 132 168 180 198 214 232 244 280 322 324 354 412	1112546945762
SPT(16)	2514122777994629539	0 28 48 52 108 162 178 210 232 264 280 334 390 394 414 442	1189856823812
STPT(10)	2514123017594315987	0 2 30 32 72 74 114 116 144 146	1429456510260
STPT(10)	2514123170415174299	0 2 18 20 60 62 102 104 120 122	1582277368572