Prime p₀= 1370599487026954157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: stoneageman
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1370596988528039551	0 6 12 16 52 66 82 130 222 270 286 300 336 340 346 352	-2498498914606
STPT(10)	1370597341756995239	0 2 18 20 30 32 42 44 60 62	-2145269958918
SPT(16)	1370598066528837989	0 14 24 78 98 134 138 164 168 194 198 234 254 308 318 332	-1420498116168
SPT(16)	1370598368752085479	0 40 52 84 88 90 102 174 178 250 262 264 268 300 312 352	-1118274868678
SPT(16)	1370599230651107537	0 12 42 84 90 104 134 170 174 210 240 254 260 302 332 344	-256375846620
SPT(16)	1370599238056071403	0 6 46 58 70 78 90 106 168 184 196 204 216 228 268 274	-248970882754
SPT(13)	1370600355671259709	0 24 42 72 120 132 162 192 204 252 282 300 324	868644305552
STPT(10)	1370600970743620541	0 2 30 32 78 80 126 128 156 158	1483716666384
SPT(16)	1370601158492976961	0 28 46 52 66 102 130 148 210 228 256 292 306 312 330 358	1671466022804
SPT(16)	1370601966786665927	0 20 62 72 84 164 182 194 210 222 240 320 332 342 384 404	2479759711770
STPT(10)	1370602383054152777	0 2 12 14 42 44 72 74 84 86	2896027198620