Prime p₀= 779679255473586497 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: Frank [NT]
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	779678367713755421	0 2 6 8 18 20 30 32 36 38	-887759831076
SPT(16)	779678519901676193	0 8 18 54 60 68 126 140 264 278 336 344 350 386 396 404	-735571910304
SPT(16)	779678536849684333	0 24 54 70 88 114 124 136 228 240 250 276 294 310 340 364	-718623902164
STPT(10)	779678916343819571	0 2 30 32 78 80 126 128 156 158	-339129766926
SPT(16)	779678958521708177	0 6 56 80 122 132 140 176 246 282 290 300 342 366 416 422	-296951878320
STPT(10)	779679135074001059	0 2 42 44 60 62 78 80 120 122	-120399585438
SPT(16)	779679299183351663	0 26 38 50 68 78 90 126 188 224 236 246 264 276 288 314	43709765166
SPT(16)	779679468341732743	0 10 30 46 54 94 114 124 156 166 186 226 234 250 270 280	212868146246
TPT(14)	779679506560700657	0 2 42 44 60 62 72 74 90 92 114 116 132 134	251087114160
STPT(10)	779679526802908967	0 2 42 44 72 74 102 104 144 146	271329322470
STPT(10)	779679580069413869	0 2 18 20 30 32 42 44 60 62	324595827372