Prime p₀= 1025731926164908379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: HenkM
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1025730587881667861	0 42 48 50 68 138 140 152 168 180 182 252 270 272 278 320	-1338283240518
STPT(10)	1025730597813466637	0 2 120 122 180 182 240 242 360 362	-1328351441742
STPT(10)	1025730889722823631	0 2 6 8 48 50 90 92 96 98	-1036442084748
STPT(12)	1025731485714682919	0 2 42 44 72 74 168 170 198 200 240 242	-440450225460
STPT(10)	1025731584240836021	0 2 6 8 48 50 90 92 96 98	-341924072358
STPT(10)	1025731828905430187	0 2 60 62 102 104 144 146 204 206	-97259478192
TPT(14)	1025732019479255111	0 2 60 62 90 92 156 158 240 242 396 398 420 422	93314346732
STPT(12)	1025732240924989709	0 2 12 14 72 74 138 140 198 200 210 212	314760081330
SPT(16)	1025732544705525409	0 22 30 58 82 88 142 168 202 228 282 288 312 340 348 370	618540617030
SPT(16)	1025732553569343271	0 16 36 58 60 72 78 88 120 130 136 148 150 172 192 208	627404434892
SPT(16)	1025732691126075683	0 24 48 78 104 126 174 186 188 200 248 270 296 326 350 374	764961167304