Prime p₀= 2234569685192845619 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: Penguin
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2234568229600101047	0 2 42 44 72 74 102 104 144 146	-1455592744572
SPT(16)	2234568550098899369	0 14 24 32 60 120 122 138 164 180 182 242 270 278 288 302	-1135093946250
STPT(10)	2234568746114981369	0 2 30 32 60 62 90 92 120 122	-939077864250
STPT(10)	2234568958391355371	0 2 30 32 78 80 126 128 156 158	-726801490248
STPT(10)	2234569333893497297	0 2 30 32 72 74 114 116 144 146	-351299348322
SPT(16)	2234569496355519853	0 24 60 66 84 90 96 138 166 208 214 220 238 244 280 304	-188837325766
TPT(14)	2234569962258320039	0 2 12 14 108 110 210 212 222 224 288 290 300 302	277065474420
STPT(10)	2234570764271671907	0 2 42 44 72 74 102 104 144 146	1079078826288
SPT(16)	2234570764959952843	0 30 36 48 78 88 144 186 268 310 366 376 406 418 424 454	1079767107224
STPT(10)	2234570851417045121	0 2 36 38 78 80 120 122 156 158	1166224199502
SPT(18)	2234571139106467907	0 12 20 42 74 102 110 126 132 224 230 246 254 282 314 336 344 356	1453913622288