Prime p₀= 780805384994829749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG]steini
db: batch=73, k=10, 2 16 2 40 2

SPT(16)	780803835686751277	0 42 52 90 120 144 172 174 190 192 220 244 274 312 322 364	-1549308078472
TPT(14)	780804350627129831	0 2 36 38 78 80 156 158 186 188 270 272 300 302	-1034367699918
STPT(10)	780804656066134781	0 2 6 8 48 50 90 92 96 98	-728928694968
STPT(10)	780804680394408557	0 2 30 32 42 44 54 56 84 86	-704600421192
STPT(10)	780804777225073421	0 2 6 8 18 20 30 32 36 38	-607769756328
STPT(10)	780804823592175047	0 2 30 32 120 122 210 212 240 242	-561402654702
SPT(16)	780805516825300823	0 8 30 50 84 120 164 168 176 180 224 260 294 314 336 344	131830471074
STPT(10)	780805832849844467	0 2 30 32 42 44 54 56 84 86	447855014718
SPT(16)	780806109321692593	0 18 34 54 124 166 174 196 228 250 258 300 370 390 406 424	724326862844
SPT(16)	780806350257082543	0 6 30 64 94 106 108 118 186 196 198 210 240 274 298 304	965262252794
STPT(10)	780806430873881351	0 2 36 38 78 80 120 122 156 158	1045879051602