Prime p₀= 1314714805593628469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: gemini8
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1314713357478362929	0 42 52 64 84 90 112 204 208 300 322 328 348 360 370 412	-1448115265540
SPT(16)	1314713824446423439	0 52 70 82 90 112 240 250 252 262 390 412 420 432 450 502	-981147205030
SPT(16)	1314713859832350359	0 2 32 92 98 152 170 180 260 270 288 342 348 408 438 440	-945761278110
SPT(16)	1314714077460564371	0 12 30 42 90 138 192 210 218 236 290 338 386 398 416 428	-728133064098
STPT(10)	1314714114110298929	0 2 18 20 30 32 42 44 60 62	-691483329540
SPT(16)	1314714426444343933	0 4 40 66 94 100 126 156 208 238 264 270 298 324 360 364	-379149284536
SPT(16)	1314714809379125597	0 6 36 44 56 86 122 146 150 174 210 240 252 260 290 296	3785497128
STPT(12)	1314714928375393451	0 2 18 20 30 32 156 158 168 170 186 188	122781764982
TPT(14)	1314714943052550161	0 2 66 68 126 128 150 152 180 182 246 248 258 260	137458921692
SPT(18)	1314715225823841089	0 2 24 48 62 84 108 122 150 212 240 254 278 300 314 338 360 362	420230212620
SPT(16)	1314715588658828911	0 16 48 66 70 90 150 168 178 196 256 276 280 298 330 346	783065200442