Prime p₀= 1211555093122653857 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1211554511711273713	0 34 36 40 64 90 96 124 156 184 190 216 240 244 246 280	-581411380144
STPT(10)	1211554545292771451	0 2 30 32 78 80 126 128 156 158	-547829882406
SPT(16)	1211554676047919129	0 14 20 72 84 114 122 128 234 240 248 278 290 342 348 362	-417074734728
SPT(16)	1211554704050525533	0 40 58 84 90 114 138 156 268 286 310 334 340 366 384 424	-389072128324
STPT(10)	1211554916938447811	0 2 36 38 78 80 120 122 156 158	-176184206046
SPT(16)	1211555092986114061	0 6 22 28 30 42 100 106 132 138 196 208 210 216 232 238	-136539796
SPT(16)	1211555131452718477	0 22 46 52 60 64 84 102 154 172 192 196 204 210 234 256	38330064620
SPT(16)	1211555296165154723	0 14 18 24 80 144 146 170 294 318 320 384 440 446 450 464	203042500866
SPT(16)	1211555468064354811	0 6 12 28 30 76 138 142 156 160 222 268 270 286 292 298	374941700954
STPT(10)	1211556034304531099	0 2 18 20 30 32 42 44 60 62	941181877242
STPT(10)	1211556125117625269	0 2 48 50 90 92 132 134 180 182	1031994971412