Prime p₀= 780827723955877361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG]steini
db: batch=73, k=10, 2 28 2 46 2

SPT(16)	780825281327604899	0 2 18 72 78 128 192 200 210 218 282 332 338 392 408 410	-2442628272462
STPT(10)	780825602369505359	0 2 18 20 60 62 102 104 120 122	-2121586372002
TPT(14)	780826310126111057	0 2 30 32 42 44 54 56 72 74 132 134 210 212	-1413829766304
STPT(12)	780826351878302867	0 2 42 44 54 56 90 92 102 104 144 146	-1372077574494
SPT(16)	780826361091825341	0 38 102 122 128 138 140 152 186 198 200 210 216 236 300 338	-1362864052020
STPT(10)	780827023576293611	0 2 30 32 78 80 126 128 156 158	-700379583750
STPT(10)	780827905498146629	0 2 12 14 90 92 168 170 180 182	181542269268
STPT(10)	780827915181837659	0 2 42 44 90 92 138 140 180 182	191225960298
SPT(16)	780828266929284559	0 30 34 52 58 94 108 160 192 244 258 294 300 318 322 352	542973407198
TPT(14)	780828848525791277	0 2 42 44 114 116 144 146 174 176 300 302 342 344	1124569913916
SPT(16)	780829266367177847	0 14 56 66 110 134 140 156 164 180 186 210 254 264 306 320	1542411300486