Prime p₀= 2167583735993080817 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: JonS
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2167582437064717973	0 6 56 66 80 84 86 104 126 144 146 150 164 174 224 230	-1298928362844
SPT(16)	2167582957465541731	0 10 30 52 100 112 118 126 142 150 156 168 216 238 258 268	-778527539086
TPT(14)	2167583069814954989	0 2 162 164 192 194 198 200 222 224 288 290 348 350	-666178125828
SPT(16)	2167583108641342813	0 28 46 66 84 124 150 154 210 214 240 280 298 318 336 364	-627351738004
STPT(10)	2167583560796247029	0 2 18 20 60 62 102 104 120 122	-175196833788
SPT(16)	2167583672246025091	0 16 18 42 66 78 132 172 216 256 310 322 346 370 372 388	-63747055726
SPT(16)	2167583839424451719	0 8 14 20 38 68 78 104 138 164 174 204 222 228 234 242	103431370902
STPT(10)	2167583893726353041	0 2 30 32 60 62 90 92 120 122	157733272224
STPT(10)	2167583899458111749	0 2 18 20 30 32 42 44 60 62	163465030932
STPT(10)	2167584289572153539	0 2 42 44 150 152 258 260 300 302	553579072722
SPT(16)	2167584448460426063	0 48 50 54 78 84 90 98 180 188 194 200 224 228 230 278	712467345246