Prime p₀= 2423995524110577407 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2423994296159094949	0 10 30 78 94 112 120 142 210 232 240 258 274 322 342 352	-1227951482458
SPT(18)	2423994335791080581	0 18 26 78 92 128 156 158 168 170 180 182 210 246 260 312 320 338	-1188319496826
SPT(16)	2423994407748566987	0 12 32 36 50 60 90 96 146 152 182 192 206 210 230 242	-1116362010420
SPT(16)	2423994470840645113	0 36 46 60 78 118 168 190 234 256 306 346 364 378 388 424	-1053269932294
STPT(10)	2423994691404284039	0 2 18 20 30 32 42 44 60 62	-832706293368
SPT(16)	2423995132028598097	0 30 40 76 102 114 120 124 162 166 172 184 210 246 256 286	-392081979310
STPT(10)	2423995781419774097	0 2 30 32 42 44 54 56 84 86	257309196690
SPT(16)	2423996260107479641	0 22 42 58 72 168 190 210 490 510 532 628 642 658 678 700	735996902234
STPT(10)	2423996646627893327	0 2 42 44 72 74 102 104 144 146	1122517315920
SPT(16)	2423997572175264191	0 2 8 42 78 86 110 122 156 168 192 200 236 270 276 278	2048064686784
SPT(13)	2423997634964719789	0 30 72 108 120 162 180 198 240 252 288 330 360	2110854142382