Prime p₀= 2514167266078734179 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [AF>Linux]Rogue 9
db: batch=82, k=10, 2 40 2 46 2

STPT(10)	2514165940649750207	0 2 60 62 72 74 84 86 144 146	-1325428983972
SPT(16)	2514166133746670099	0 32 68 74 90 92 104 120 152 168 180 182 198 204 240 272	-1132332064080
SPT(16)	2514166229224766833	0 48 94 136 156 208 238 276 418 456 486 538 558 600 646 694	-1036853967346
STPT(12)	2514166649663032751	0 2 90 92 210 212 288 290 408 410 498 500	-616415701428
SPT(16)	2514166839129926809	0 34 52 82 100 118 148 190 252 294 324 342 360 390 408 442	-426948807370
STPT(10)	2514167204845204859	0 2 18 20 30 32 42 44 60 62	-61233529320
SPT(16)	2514167770718252213	0 24 50 60 78 108 120 134 174 188 200 230 248 258 284 308	504639518034
TPT(14)	2514168346173448751	0 2 48 50 66 68 90 92 138 140 180 182 216 218	1080094714572
STPT(10)	2514168358306449587	0 2 30 32 42 44 54 56 84 86	1092227715408
STPT(10)	2514168659791371761	0 2 6 8 48 50 90 92 96 98	1393712637582
SPT(16)	2514168837559563241	0 12 30 46 58 66 70 102 136 168 172 180 192 208 226 238	1571480829062