Prime p₀= 2286394074636524777 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2286393278857335913	0 6 40 96 100 114 130 144 166 180 196 210 214 270 304 310	-795779188864
STPT(10)	2286393306360149549	0 2 12 14 90 92 168 170 180 182	-768276375228
SPT(16)	2286393394102543861	0 18 42 48 70 90 102 126 202 226 238 258 280 286 310 328	-680533980916
STPT(10)	2286393648378428777	0 2 24 26 42 44 60 62 84 86	-426258096000
STPT(10)	2286393849831992237	0 2 30 32 42 44 54 56 84 86	-224804532540
SPT(16)	2286394038473457239	0 42 54 90 92 104 122 150 164 192 210 222 224 260 272 314	-36163067538
TPT(14)	2286394214956136027	0 2 30 32 42 44 114 116 120 122 150 152 162 164	140319611250
TPT(14)	2286394383349659521	0 2 30 32 78 80 120 122 210 212 246 248 420 422	308713134744
SPT(16)	2286394408484551537	0 22 40 54 64 72 84 100 126 142 154 162 172 186 204 226	333848026760
TPT(14)	2286394554288009299	0 2 12 14 30 32 162 164 168 170 180 182 222 224	479651484522
SPT(16)	2286395014165442891	0 18 60 68 182 252 278 300 350 372 398 468 582 590 632 650	939528918114