Prime p₀= 782351583848316407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: marsinph
db: batch=73, k=10, 2 70 2 28 2

SPT(16)	782350777015413451	0 18 30 40 60 88 112 130 138 156 180 208 228 238 250 268	-806832902956
SPT(16)	782350814572709377	0 4 42 46 100 106 114 156 160 202 210 216 270 274 312 316	-769275607030
STPT(10)	782350844394640637	0 2 30 32 42 44 54 56 84 86	-739453675770
STPT(10)	782350864445073377	0 2 24 26 42 44 60 62 84 86	-719403243030
STPT(10)	782351295899349257	0 2 54 56 72 74 90 92 144 146	-287948967150
SPT(16)	782351557023205031	0 32 80 140 186 192 230 258 260 288 326 332 378 438 486 518	-26825111376
SPT(16)	782352057291065159	0 48 54 122 152 188 222 230 282 290 324 360 390 458 464 512	473442748752
SPT(16)	782352689115386507	0 30 32 84 126 140 152 156 170 174 186 200 242 294 296 326	1105267070100
SPT(16)	782352884598341191	0 16 46 48 58 66 90 136 192 238 262 270 280 282 312 328	1300750024784
STPT(10)	782352988450867649	0 2 12 14 30 32 48 50 60 62	1404602551242
STPT(10)	782353035022102301	0 2 6 8 18 20 30 32 36 38	1451173785894