Prime p₀= 1295765178484249799 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

STPT(12)	1295763448122190079	0 2 30 32 42 44 48 50 60 62 90 92	-1730362059720
TPT(14)	1295764018880331527	0 2 42 44 204 206 270 272 294 296 312 314 324 326	-1159603918272
SPT(16)	1295764117571464693	0 36 40 54 60 64 84 150 190 256 276 280 286 300 304 340	-1060912785106
SPT(16)	1295764866770965949	0 2 24 54 72 120 150 194 210 254 284 332 350 380 402 404	-311713283850
TPT(16)	1295764916189912447	0 2 12 14 24 26 42 44 114 116 180 182 264 266 450 452	-262294337352
TPT(14)	1295765078607809387	0 2 30 32 42 44 54 56 114 116 132 134 144 146	-99876440412
SPT(16)	1295765323055642081	0 26 42 62 80 128 140 152 186 198 210 258 276 296 312 338	144571392282
TPT(14)	1295765477984884559	0 2 42 44 48 50 72 74 78 80 90 92 120 122	299500634760
SPT(16)	1295765917396970449	0 52 124 132 148 174 180 190 222 232 238 264 280 288 360 412	738912720650
SPT(16)	1295766064740515527	0 34 54 64 70 76 96 124 162 190 210 216 222 232 252 286	886256265728
STPT(10)	1295766501635987741	0 2 6 8 48 50 90 92 96 98	1323151737942