Prime p₀= 2166290569815204797 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: JayPi
db: batch=81, k=10, 2 28 2 10 2

TPT(14)	2166289546541670299	0 2 72 74 120 122 168 170 180 182 318 320 360 362	-1023273534498
STPT(10)	2166289745900633501	0 2 30 32 78 80 126 128 156 158	-823914571296
SPT(16)	2166290060562395813	0 30 56 66 126 168 198 206 210 218 248 290 350 360 386 416	-509252808984
SPT(16)	2166290143921815761	0 2 6 36 62 72 110 150 152 192 230 240 266 296 300 302	-425893389036
SPT(16)	2166290252487300889	0 28 48 54 70 82 88 124 138 174 180 192 208 214 234 262	-317327903908
STPT(10)	2166290366201525651	0 2 6 8 48 50 90 92 96 98	-203613679146
SPT(16)	2166290691563348899	0 48 52 64 90 150 154 162 190 198 202 262 288 300 304 352	121748144102
STPT(10)	2166290979923168627	0 2 60 62 72 74 84 86 144 146	410107963830
STPT(10)	2166290996314375727	0 2 24 26 42 44 60 62 84 86	426499170930
SPT(16)	2166291170661732211	0 10 18 30 52 76 130 132 136 138 192 216 238 250 258 268	600846527414
SPT(16)	2166291355491177493	0 10 36 46 78 106 120 124 150 154 168 196 228 238 264 274	785675972696