Prime p₀= 2342467558135894829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: Landjunge
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2342465449918891907	0 2 30 32 42 44 54 56 84 86	-2108217002922
STPT(10)	2342465670970888829	0 2 42 44 60 62 78 80 120 122	-1887165006000
SPT(16)	2342466415368016081	0 16 28 36 58 72 106 112 216 222 256 270 292 300 312 328	-1142767878748
SPT(16)	2342466533710473239	0 68 80 110 132 168 198 210 212 224 254 290 312 342 354 422	-1024425421590
SPT(16)	2342466846736044881	0 6 12 26 30 42 48 72 86 110 116 128 132 146 152 158	-711399849948
STPT(10)	2342467531070458061	0 2 6 8 48 50 90 92 96 98	-27065436768
SPT(16)	2342467719998696683	0 28 30 66 106 150 154 238 276 360 364 408 448 484 486 514	161862801854
SPT(16)	2342467825725480853	0 4 60 108 126 130 138 144 190 196 204 208 226 274 330 334	267589586024
STPT(10)	2342467828341577631	0 2 30 32 60 62 90 92 120 122	270205682802
SPT(16)	2342468099496653153	0 6 54 56 60 120 126 156 158 188 194 254 258 260 308 314	541360758324
TPT(14)	2342468160113761697	0 2 12 14 42 44 54 56 90 92 180 182 222 224	601977866868