Prime p₀= 2134599157466236079 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=80, k=10, 2 10 2 76 2

STPT(10)	2134597999210364627	0 2 30 32 60 62 90 92 120 122	-1158255871452
STPT(10)	2134598274103094477	0 2 30 32 42 44 54 56 84 86	-883363141602
SPT(16)	2134598522197017013	0 36 46 78 130 156 168 198 298 328 340 366 418 450 460 496	-635269219066
SPT(16)	2134598570105906699	0 32 42 72 98 120 132 144 158 170 182 204 230 260 270 302	-587360329380
SPT(16)	2134598651202222397	0 12 30 36 40 52 90 100 132 142 180 192 196 202 220 232	-506264013682
SPT(16)	2134598776473949393	0 6 28 48 84 138 180 186 208 214 256 310 346 366 388 394	-380992286686
TPT(14)	2134599313772874017	0 2 12 14 54 56 60 62 102 104 144 146 180 182	156306637938
TPT(14)	2134599409817685929	0 2 18 20 150 152 228 230 240 242 312 314 390 392	252351449850
STPT(10)	2134599521042861669	0 2 18 20 30 32 42 44 60 62	363576625590
SPT(16)	2134600028134651657	0 4 24 42 46 54 66 82 114 130 142 150 154 172 192 196	870668415578
SPT(16)	2134600130811466499	0 32 42 84 104 108 114 132 140 158 164 168 188 230 240 272	973345230420