Prime p₀= 781028599918847249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: [SG]steini
db: batch=73, k=10, 2 10 2 16 2

STPT(10)	781027512268097111	0 2 78 80 108 110 138 140 216 218	-1087650750138
SPT(16)	781028204997783641	0 30 42 62 92 120 122 162 176 216 218 246 276 296 308 338	-394921063608
SPT(16)	781028392391844929	0 44 50 78 90 92 140 194 198 252 300 302 314 342 348 392	-207527002320
SPT(16)	781028429461017587	0 14 20 44 50 66 72 104 192 224 230 246 252 276 282 296	-170457829662
STPT(10)	781028494118230451	0 2 36 38 78 80 120 122 156 158	-105800616798
SPT(18)	781028571738272549	0 42 48 110 138 180 212 228 324 338 434 450 482 524 552 614 620 662	-28180574700
STPT(10)	781028694085127771	0 2 6 8 48 50 90 92 96 98	94166280522
SPT(16)	781029254654529329	0 60 98 158 170 198 228 278 324 374 404 432 444 504 542 602	654735682080
STPT(10)	781029531367383971	0 2 30 32 78 80 126 128 156 158	931448536722
STPT(10)	781029612639088331	0 2 96 98 138 140 180 182 276 278	1012720241082
STPT(10)	781029767870343527	0 2 30 32 42 44 54 56 84 86	1167951496278