Prime p₀= 3879092267461030559 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Conan
db: batch=84, k=10, 2 28 2 28 2

SPT(16)	3879090029630039267	0 36 66 170 182 192 240 242 294 296 344 354 366 470 500 536	-2237830991292
STPT(10)	3879090965549599529	0 2 72 74 120 122 168 170 240 242	-1301911431030
SPT(16)	3879091011386513969	0 48 72 78 132 138 140 210 230 300 302 308 362 368 392 440	-1256074516590
SPT(16)	3879091260658087379	0 24 72 90 104 110 164 182 222 240 294 300 314 332 380 404	-1006802943180
STPT(10)	3879091440327420011	0 2 30 32 60 62 90 92 120 122	-827133610548
SPT(16)	3879091831422653519	0 14 38 42 48 78 84 104 108 128 134 164 170 174 198 212	-436038377040
SPT(16)	3879092522483706833	0 26 50 60 96 126 134 140 180 186 194 224 260 270 294 320	255022676274
STPT(10)	3879093812168889887	0 2 24 26 42 44 60 62 84 86	1544707859328
SPT(16)	3879094497536304217	0 36 52 72 94 132 174 210 226 262 304 342 364 384 400 436	2230075273658
SPT(16)	3879094498923136789	0 18 24 58 60 84 142 184 288 330 388 412 414 448 454 472	2231462106230
STPT(10)	3879094865273583251	0 2 6 8 18 20 30 32 36 38	2597812552692