Prime p₀= 779619153279869657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: [SG-2W]Kurzer
db: batch=73, k=10, 2 58 2 10 2

STPT(12)	779618376039146129	0 2 78 80 90 92 120 122 132 134 210 212	-777240723528
TPT(14)	779618376039146129	0 2 78 80 90 92 120 122 132 134 210 212 300 302	-777240723528
SPT(16)	779618589619948081	0 22 78 112 126 262 268 292 306 330 336 472 486 520 576 598	-563659921576
SPT(16)	779618654723180971	0 88 96 136 142 150 186 196 252 262 298 306 312 352 360 448	-498556688686
STPT(10)	779618691455959637	0 2 60 62 72 74 84 86 144 146	-461823910020
STPT(10)	779618813811422909	0 2 18 20 60 62 102 104 120 122	-339468446748
STPT(10)	779619335187178061	0 2 36 38 78 80 120 122 156 158	181907308404
TPT(14)	779619540714151847	0 2 54 56 150 152 222 224 264 266 402 404 414 416	387434282190
SPT(16)	779620101266997167	0 36 60 74 134 176 210 234 242 266 300 342 402 416 440 476	947987127510
SPT(16)	779620220172688607	0 6 26 66 146 150 164 234 272 342 356 360 440 480 500 506	1066892818950
SPT(16)	779620510980959563	0 28 100 126 130 144 156 178 186 208 220 234 238 264 336 364	1357701089906