Prime p₀= 2857003366252448027 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=82, k=10, 2 22 2 16 2

STPT(10)	2857001861374354781	0 2 6 8 48 50 90 92 96 98	-1504878093246
STPT(10)	2857002067531796489	0 2 42 44 90 92 138 140 180 182	-1298720651538
TPT(14)	2857002266102680049	0 2 48 50 90 92 168 170 180 182 198 200 252 254	-1100149767978
TPT(14)	2857002853323907697	0 2 54 56 90 92 162 164 294 296 342 344 402 404	-512928540330
STPT(10)	2857003065277475129	0 2 30 32 120 122 210 212 240 242	-300974972898
STPT(10)	2857003087433614541	0 2 36 38 78 80 120 122 156 158	-278818833486
SPT(16)	2857003680595141757	0 12 42 80 92 96 114 182 234 302 320 324 336 374 404 416	314342693730
SPT(16)	2857003714124776049	0 8 12 14 30 32 38 42 110 114 120 122 138 140 144 152	347872328022
SPT(16)	2857004242657704911	0 2 18 48 62 66 78 90 158 170 182 186 200 230 246 248	876405256884
SPT(16)	2857004335136868143	0 36 50 78 80 84 110 138 206 234 260 264 266 294 308 344	968884420116
SPT(16)	2857004566132766167	0 34 40 42 144 150 154 166 180 192 196 202 304 306 312 346	1199880318140