Prime p₀= 2712424411386902999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2712423039657575501	0 32 66 116 188 228 248 252 266 270 290 330 402 452 486 518	-1371729327498
SPT(16)	2712423104058845627	0 36 50 84 90 114 140 146 150 156 182 206 212 246 260 296	-1307328057372
TPT(14)	2712423239029282937	0 2 30 32 42 44 132 134 174 176 252 254 312 314	-1172357620062
STPT(10)	2712423285215736641	0 2 6 8 48 50 90 92 96 98	-1126171166358
SPT(13)	2712424176368720897	0 12 42 72 90 102 156 210 222 240 270 300 312	-235018182102
SPT(16)	2712424220433622391	0 2 32 48 90 158 170 180 218 228 240 308 350 366 396 398	-190953280608
STPT(10)	2712424594557818051	0 2 6 8 18 20 30 32 36 38	183170915052
STPT(10)	2712424751415980369	0 2 18 20 30 32 42 44 60 62	340029077370
STPT(10)	2712424840989175391	0 2 30 32 78 80 126 128 156 158	429602272392
TPT(14)	2712425168376071039	0 2 48 50 90 92 192 194 210 212 342 344 372 374	756989168040
STPT(10)	2712425362704370121	0 2 6 8 48 50 90 92 96 98	951317467122