Prime p₀= 2159280127371630407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: rlacr
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2159278650138984211	0 6 40 48 52 90 106 126 172 192 208 246 250 258 292 298	-1477232646196
STPT(10)	2159279021953894439	0 2 18 20 30 32 42 44 60 62	-1105417735968
SPT(16)	2159279071719436637	0 20 62 104 146 150 180 182 234 236 266 270 312 354 396 416	-1055652193770
SPT(16)	2159279228102501041	0 36 42 60 96 120 172 186 196 210 262 286 322 340 346 382	-899269129366
STPT(10)	2159279528258502437	0 2 12 14 72 74 132 134 144 146	-599113127970
SPT(16)	2159279713162851347	0 12 50 66 92 180 200 210 302 312 332 420 446 462 500 512	-414208779060
STPT(10)	2159280348023248271	0 2 6 8 48 50 90 92 96 98	220651617864
SPT(16)	2159280350706333551	0 2 26 36 42 50 56 90 92 126 132 140 146 156 180 182	223334703144
SPT(16)	2159280663257879113	0 28 36 78 84 96 156 184 210 238 298 310 316 358 366 394	535886248706
SPT(16)	2159280758204973233	0 8 54 56 68 96 116 138 146 168 188 216 228 230 276 284	630833342826
SPT(16)	2159281305338026097	0 20 54 72 86 120 126 170 186 230 236 270 284 302 336 356	1177966395690