Prime p₀= 816369423480024059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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]FX
db: batch=73, k=10, 2 46 2 10 2

STPT(10)	816368711889271547	0 2 30 32 42 44 54 56 84 86	-711590752512
SPT(16)	816368717785806671	0 12 50 56 66 68 72 78 170 176 180 182 192 198 236 248	-705694217388
SPT(16)	816368895706541629	0 40 82 124 154 174 184 190 222 228 238 258 288 330 372 412	-527773482430
STPT(10)	816369021233240771	0 2 6 8 18 20 30 32 36 38	-402246783288
SPT(18)	816369040795030141	0 6 12 40 60 72 96 126 138 160 172 202 226 238 258 286 292 298	-382684993918
SPT(16)	816369063887443919	0 12 20 48 72 90 138 140 282 284 332 350 374 402 410 422	-359592580140
SPT(16)	816369432694082941	0 6 48 58 66 76 90 100 126 136 150 160 168 178 220 226	9214058882
SPT(16)	816369758262631913	0 14 30 60 98 120 176 260 264 348 404 426 464 494 510 524	334782607854
STPT(10)	816370357420126811	0 2 30 32 78 80 126 128 156 158	933940102752
SPT(16)	816370421040660389	0 14 50 60 114 128 158 180 182 204 234 248 302 312 348 362	997560636330
STPT(10)	816371096367024017	0 2 30 32 42 44 54 56 84 86	1672886999958