Prime p₀= 2402339538664734857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2402337845626433147	0 2 14 26 30 56 66 80 186 200 210 236 240 252 264 266	-1693038301710
SPT(16)	2402338630837114927	0 40 66 70 96 100 114 136 144 166 180 184 210 214 240 280	-907827619930
SPT(18)	2402339002836000841	0 16 18 70 90 96 100 112 132 166 186 198 202 208 228 280 282 298	-535828734016
STPT(10)	2402339030602773089	0 2 42 44 60 62 78 80 120 122	-508061961768
SPT(16)	2402339051311207999	0 70 112 118 132 144 162 174 238 250 268 280 294 300 342 412	-487353526858
STPT(10)	2402339287972186271	0 2 36 38 78 80 120 122 156 158	-250692548586
STPT(10)	2402339774697293537	0 2 30 32 42 44 54 56 84 86	236032558680
SPT(16)	2402339931421241107	0 10 66 102 112 130 150 154 192 196 216 234 244 280 336 346	392756506250
TPT(14)	2402340265288472939	0 2 180 182 222 224 258 260 300 302 432 434 468 470	726623738082
STPT(10)	2402340346326090629	0 2 18 20 30 32 42 44 60 62	807661355772
STPT(10)	2402340399394691051	0 2 6 8 18 20 30 32 36 38	860729956194