Prime p₀= 2212588054467123017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2212586909694609271	0 40 102 126 148 178 208 238 270 300 330 360 382 406 468 508	-1144772513746
SPT(16)	2212587032574726833	0 6 50 60 86 110 120 126 230 236 246 270 296 306 350 356	-1021892396184
STPT(10)	2212587143970532727	0 2 30 32 72 74 114 116 144 146	-910496590290
STPT(10)	2212587256002970829	0 2 12 14 90 92 168 170 180 182	-798464152188
TPT(14)	2212587480040898549	0 2 12 14 78 80 138 140 240 242 330 332 402 404	-574426224468
STPT(10)	2212587489401208119	0 2 12 14 90 92 168 170 180 182	-565065914898
STPT(10)	2212588068643409657	0 2 54 56 72 74 90 92 144 146	14176286640
SPT(16)	2212588268152083713	0 20 50 66 104 108 110 126 188 204 206 210 248 264 294 314	213684960696
STPT(10)	2212588723771764431	0 2 36 38 78 80 120 122 156 158	669304641414
STPT(10)	2212588761473849579	0 2 18 20 30 32 42 44 60 62	707006726562
SPT(16)	2212588768473586439	0 18 60 72 80 132 150 180 200 230 248 300 308 320 362 380	714006463422