Prime p₀= 2310430812386317601 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: FritzB
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2310429575975286301	0 16 42 90 106 112 132 148 180 196 216 222 238 286 312 328	-1236411031300
STPT(10)	2310430186322446451	0 2 6 8 48 50 90 92 96 98	-626063871150
SPT(18)	2310430383051494813	0 26 30 50 68 84 114 120 156 158 194 200 230 246 264 284 288 314	-429334822788
SPT(16)	2310430487261701501	0 6 28 58 76 90 100 126 130 156 166 180 198 228 250 256	-325124616100
STPT(10)	2310430588574543777	0 2 24 26 42 44 60 62 84 86	-223811773824
SPT(16)	2310430754866957543	0 6 18 66 94 118 130 148 156 174 186 210 238 286 298 304	-57519360058
STPT(10)	2310430983680169599	0 2 18 20 30 32 42 44 60 62	171293851998
SPT(16)	2310431230375929877	0 6 24 30 72 76 94 142 144 192 210 214 256 262 280 286	417989612276
SPT(16)	2310431246706872921	0 2 36 56 60 66 78 158 210 290 302 308 312 332 366 368	434320555320
SPT(16)	2310431714992028179	0 12 48 70 100 114 144 172 210 238 268 282 312 334 370 382	902605710578
STPT(10)	2310432019765239047	0 2 30 32 42 44 54 56 84 86	1207378921446