Prime p₀= 772829118056406797 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: marsinph
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	772827824404191713	0 14 20 44 48 78 86 110 114 138 146 176 180 204 210 224	-1293652215084
SPT(16)	772828096936834129	0 94 120 132 204 214 234 340 384 490 510 520 592 604 630 724	-1021119572668
STPT(10)	772828172013389207	0 2 42 44 72 74 102 104 144 146	-946043017590
SPT(16)	772828470736117903	0 48 60 90 126 148 196 226 258 288 336 358 394 424 436 484	-647320288894
SPT(16)	772828499905069973	0 26 54 68 74 78 110 120 134 144 176 180 186 200 228 254	-618151336824
SPT(16)	772828668917526827	0 12 14 20 72 92 102 110 204 212 222 242 294 300 302 314	-449138879970
STPT(10)	772829162080912367	0 2 30 32 72 74 114 116 144 146	44024505570
STPT(10)	772829266671445337	0 2 54 56 72 74 90 92 144 146	148615038540
SPT(16)	772829463269757781	0 6 10 16 66 72 76 96 172 192 196 202 252 258 262 268	345213350984
STPT(12)	772829516632272299	0 2 12 14 48 50 132 134 168 170 180 182	398575865502
STPT(10)	772829651448253667	0 2 30 32 72 74 114 116 144 146	533391846870