Prime p₀= 2313656282962063811 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: Landjunge
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2313654658684493101	0 48 66 90 102 136 220 246 262 288 372 406 418 442 460 508	-1624277570710
SPT(16)	2313654698391574633	0 6 34 36 54 78 96 120 124 148 166 190 208 210 238 244	-1584570489178
SPT(16)	2313654921940330121	0 2 48 90 108 152 158 168 170 180 186 230 248 290 336 338	-1361021733690
TPT(14)	2313655048206772547	0 2 12 14 54 56 90 92 180 182 252 254 270 272	-1234755291264
TPT(14)	2313655214695873457	0 2 12 14 54 56 120 122 192 194 300 302 342 344	-1068266190354
SPT(16)	2313655880343707773	0 108 118 136 156 178 180 208 228 256 258 280 300 318 328 436	-402618356038
SPT(16)	2313656418716543657	0 32 54 56 86 144 186 194 252 260 302 360 390 392 414 446	135754479846
TPT(14)	2313656560938441737	0 2 12 14 42 44 72 74 144 146 264 266 282 284	277976377926
STPT(10)	2313656574108426101	0 2 36 38 78 80 120 122 156 158	291146362290
SPT(13)	2313656645087742433	0 36 66 84 96 120 150 180 204 216 234 264 300	362125678622
SPT(16)	2313656743222524943	0 6 34 94 124 136 154 174 196 216 234 246 276 336 364 370	460260461132