Prime p₀= 2345750177266409117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JonS
db: batch=81, k=10, 2 10 2 28 2

STPT(10)	2345749191886885199	0 2 18 20 30 32 42 44 60 62	-985379523918
SPT(16)	2345749500977788441	0 42 76 78 82 100 112 130 198 216 228 246 250 252 286 328	-676288620676
STPT(10)	2345749656187382111	0 2 6 8 18 20 30 32 36 38	-521079027006
SPT(16)	2345749837960892243	0 18 30 38 80 108 138 140 168 170 200 228 270 278 290 308	-339305516874
SPT(16)	2345749952330454217	0 72 94 126 136 184 192 226 270 304 312 360 370 402 424 496	-224935954900
STPT(10)	2345750107941260219	0 2 78 80 210 212 342 344 420 422	-69325148898
SPT(16)	2345750656253639119	0 42 72 88 90 102 114 118 144 148 160 172 174 190 220 262	478987230002
SPT(16)	2345751129735812021	0 48 60 90 132 146 152 158 210 216 222 236 278 308 320 368	952469402904
SPT(16)	2345751478360161791	0 20 30 38 50 78 108 128 132 152 182 210 222 230 240 260	1301093752674
STPT(10)	2345751570749176691	0 2 6 8 48 50 90 92 96 98	1393482767574
STPT(10)	2345751640916350127	0 2 24 26 42 44 60 62 84 86	1463649941010