Prime p₀= 2378971431549686789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: herby44
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2378968905827810393	0 18 48 66 80 158 168 170 186 188 198 276 290 308 338 356	-2525721876396
STPT(10)	2378968954941833159	0 2 42 44 90 92 138 140 180 182	-2476607853630
SPT(16)	2378969194625741639	0 8 18 20 38 42 108 110 342 344 410 414 432 434 444 452	-2236923945150
SPT(16)	2378970011156559629	0 2 8 14 50 168 182 200 282 300 314 432 468 474 480 482	-1420393127160
SPT(16)	2378970164158984091	0 38 72 80 146 152 182 192 236 246 276 282 348 356 390 428	-1267390702698
STPT(10)	2378971112395385117	0 2 30 32 42 44 54 56 84 86	-319154301672
STPT(10)	2378971693292166821	0 2 30 32 60 62 90 92 120 122	261742480032
SPT(16)	2378971784583748391	0 30 36 42 56 60 66 108 140 182 188 192 206 212 218 248	353034061602
STPT(10)	2378972741219945501	0 2 36 38 78 80 120 122 156 158	1309670258712
SPT(16)	2378972748374285783	0 14 48 54 56 80 98 114 140 156 174 198 200 206 240 254	1316824598994
SPT(18)	2378973360403406827	0 16 34 36 42 100 102 120 130 186 196 214 216 274 280 282 300 316	1928853720038