Prime p₀= 2342469835195820789 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2342468099496653153	0 6 54 56 60 120 126 156 158 188 194 254 258 260 308 314	-1735699167636
TPT(14)	2342468160113761697	0 2 12 14 42 44 54 56 90 92 180 182 222 224	-1675082059092
SPT(16)	2342468574128818609	0 22 24 34 64 144 148 160 162 174 178 258 288 298 300 322	-1261067002180
SPT(16)	2342469083795540989	0 18 28 34 42 64 90 112 120 142 168 190 198 204 214 232	-751400279800
STPT(10)	2342469438124166171	0 2 6 8 18 20 30 32 36 38	-397071654618
STPT(12)	2342469791649425939	0 2 18 20 42 44 48 50 72 74 90 92	-43546394850
STPT(10)	2342470081424501261	0 2 30 32 78 80 126 128 156 158	246228680472
SPT(16)	2342470218289333669	0 10 70 88 132 144 162 168 214 220 238 250 294 312 372 382	383093512880
TPT(14)	2342470500060395231	0 2 18 20 36 38 48 50 90 92 126 128 156 158	664864574442
TPT(14)	2342470536036644939	0 2 48 50 252 254 258 260 300 302 408 410 420 422	700840824150
STPT(10)	2342470690938888161	0 2 36 38 78 80 120 122 156 158	855743067372