Prime p₀= 2004420208702759949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: MarkRBright
db: batch=80, k=10, 2 10 2 76 2

SPT(16)	2004418226738170687	0 30 34 42 72 90 124 142 222 240 274 292 322 330 334 364	-1981964589262
STPT(10)	2004418249497494177	0 2 12 14 42 44 72 74 84 86	-1959205265772
SPT(16)	2004418844249062259	0 14 18 42 72 78 90 110 162 182 194 200 230 254 258 272	-1364453697690
SPT(16)	2004419560646880577	0 4 12 16 82 84 102 126 160 184 202 204 270 274 282 286	-648055879372
STPT(10)	2004419956838903699	0 2 18 20 30 32 42 44 60 62	-251863856250
SPT(16)	2004420123506151361	0 28 58 136 156 180 192 196 222 226 238 262 282 360 390 418	-85196608588
STPT(10)	2004420520532746871	0 2 36 38 78 80 120 122 156 158	311829986922
STPT(10)	2004420563374232849	0 2 18 20 30 32 42 44 60 62	354671472900
SPT(16)	2004420641452947181	0 10 72 126 142 156 168 190 288 310 322 336 352 406 468 478	432750187232
SPT(16)	2004420716458636771	0 16 18 58 66 70 120 196 270 346 396 400 408 448 450 466	507755876822
SPT(16)	2004421021007567707	0 6 34 42 72 90 100 156 220 276 286 304 334 342 370 376	812304807758