Prime p₀= 2592878533711174739 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2592877857724177747	0 12 42 52 66 72 96 136 210 250 274 280 294 304 334 346	-675986996992
STPT(10)	2592878131391447201	0 2 30 32 78 80 126 128 156 158	-402319727538
SPT(16)	2592878188031644787	0 26 66 84 92 114 156 206 240 290 332 354 362 380 420 446	-345679529952
SPT(16)	2592878210802383587	0 52 66 94 100 160 180 210 226 256 276 336 342 370 384 436	-322908791152
SPT(18)	2592878306743674913	0 6 40 54 60 94 118 138 144 160 166 186 210 244 250 264 298 304	-226967499826
TPT(14)	2592878309381668109	0 2 48 50 60 62 102 104 222 224 282 284 300 302	-224329506630
STPT(10)	2592878660181536327	0 2 30 32 42 44 54 56 84 86	126470361588
STPT(10)	2592878744510595389	0 2 30 32 60 62 90 92 120 122	210799420650
SPT(16)	2592878778571074863	0 30 48 56 80 114 116 126 188 198 200 234 258 266 284 314	244859900124
STPT(10)	2592878956937999591	0 2 36 38 78 80 120 122 156 158	423226824852
STPT(10)	2592879388549598219	0 2 42 44 120 122 198 200 240 242	854838423480