Prime p₀= 2168377267522378667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2168376312171729731	0 32 66 96 110 122 156 170 192 206 240 252 266 296 330 362	-955350648936
SPT(16)	2168376348077118787	0 6 60 144 154 210 222 256 300 334 346 402 412 496 550 556	-919445259880
SPT(16)	2168376349054211929	0 22 64 70 72 114 124 150 154 180 190 232 234 240 282 304	-918468166738
STPT(12)	2168376725440341347	0 2 42 44 72 74 150 152 180 182 222 224	-542082037320
STPT(10)	2168377163384831207	0 2 30 32 42 44 54 56 84 86	-104137547460
SPT(16)	2168377220337827351	0 26 32 42 68 90 98 108 140 150 158 180 206 216 222 248	-47184551316
TPT(14)	2168377589331561779	0 2 12 14 162 164 252 254 330 332 342 344 372 374	321809183112
SPT(16)	2168377850561111179	0 12 30 78 138 148 168 172 390 394 414 424 484 532 550 562	583038732512
STPT(12)	2168378173342566467	0 2 42 44 60 62 84 86 102 104 144 146	905820187800
STPT(10)	2168378553981689627	0 2 30 32 42 44 54 56 84 86	1286459310960
SPT(16)	2168379219286817357	0 2 30 60 62 80 86 90 182 186 192 210 212 242 270 272	1951764438690