Prime p₀= 1285956297231879587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1285955852581506287	0 2 30 32 42 44 54 56 84 86	-444650373300
TPT(14)	1285955946006932729	0 2 72 74 102 104 168 170 240 242 258 260 270 272	-351224946858
SPT(16)	1285956080018023021	0 10 108 132 136 156 180 220 258 298 322 342 346 370 468 478	-217213856566
SPT(16)	1285956111182567479	0 64 84 90 124 142 174 204 418 448 480 498 532 538 558 622	-186049312108
STPT(10)	1285956196925855867	0 2 24 26 42 44 60 62 84 86	-100306023720
STPT(10)	1285956247252405319	0 2 48 50 90 92 132 134 180 182	-49979474268
SPT(16)	1285956550249859659	0 42 100 132 142 168 202 208 294 300 334 360 370 402 460 502	253017980072
SPT(16)	1285956613256710069	0 24 34 48 58 78 94 112 120 138 154 174 184 198 208 232	316024830482
SPT(16)	1285956817362751687	0 30 46 66 72 76 90 112 114 136 150 154 160 180 196 226	520130872100
SPT(16)	1285957002536648111	0 8 18 48 80 90 126 140 168 182 218 228 260 290 300 308	705304768524
SPT(16)	1285957146479883197	0 24 50 90 110 116 144 150 176 182 210 216 236 276 302 326	849248003610