Prime p₀= 2311867356450361667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2311865155099274917	0 16 30 46 70 112 132 136 150 154 174 216 240 256 270 286	-2201351086750
SPT(16)	2311865599213784161	0 10 28 42 58 100 132 150 220 238 270 312 328 342 360 370	-1757236577506
SPT(16)	2311865754404430577	0 30 84 100 160 196 210 220 240 250 264 300 360 376 430 460	-1602045931090
SPT(16)	2311866238495467481	0 6 10 36 46 48 58 66 112 120 130 132 142 168 172 178	-1117954894186
SPT(18)	2311866333039236429	0 30 32 74 84 98 102 120 150 212 242 260 264 278 288 330 332 362	-1023411125238
TPT(14)	2311867020318637547	0 2 120 122 132 134 150 152 162 164 204 206 264 266	-336131724120
TPT(14)	2311867826742150629	0 2 78 80 108 110 120 122 162 164 168 170 252 254	470291788962
STPT(10)	2311867894702745537	0 2 54 56 72 74 90 92 144 146	538252383870
SPT(16)	2311868040401137139	0 48 60 108 150 168 180 182 228 230 242 260 302 350 362 410	683950775472
SPT(16)	2311868121776656033	0 28 34 100 114 126 148 180 184 216 238 250 264 330 336 364	765326294366
SPT(16)	2311868169337146439	0 18 40 54 84 108 162 172 210 220 274 298 328 342 364 382	812886784772