Prime p₀= 780804823592175047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: [SG]steini
db: batch=73, k=10, 2 28 2 88 2

SPT(16)	780803487693190499	0 18 38 62 68 90 98 108 182 192 200 222 228 252 272 290	-1335898984548
SPT(16)	780803835686751277	0 42 52 90 120 144 172 174 190 192 220 244 274 312 322 364	-987905423770
TPT(14)	780804350627129831	0 2 36 38 78 80 156 158 186 188 270 272 300 302	-472965045216
STPT(10)	780804656066134781	0 2 6 8 48 50 90 92 96 98	-167526040266
STPT(10)	780804680394408557	0 2 30 32 42 44 54 56 84 86	-143197766490
STPT(10)	780804777225073421	0 2 6 8 18 20 30 32 36 38	-46367101626
STPT(10)	780805384994829749	0 2 18 20 60 62 102 104 120 122	561402654702
SPT(16)	780805516825300823	0 8 30 50 84 120 164 168 176 180 224 260 294 314 336 344	693233125776
STPT(10)	780805832849844467	0 2 30 32 42 44 54 56 84 86	1009257669420
SPT(16)	780806109321692593	0 18 34 54 124 166 174 196 228 250 258 300 370 390 406 424	1285729517546
SPT(16)	780806350257082543	0 6 30 64 94 106 108 118 186 196 198 210 240 274 298 304	1526664907496