Prime p₀= 816229612036414307 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: [SG]FX
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	816228803752470077	0 2 12 14 72 74 132 134 144 146	-808283944230
STPT(10)	816228932794774127	0 2 30 32 72 74 114 116 144 146	-679241640180
SPT(16)	816228937061988431	0 38 56 78 86 116 170 182 186 198 252 282 290 312 330 368	-674974425876
STPT(10)	816229004552846231	0 2 6 8 48 50 90 92 96 98	-607483568076
SPT(16)	816229038595039283	0 18 74 78 104 168 180 186 218 224 236 300 326 330 386 404	-573441375024
SPT(16)	816229053874635431	0 42 62 72 122 140 150 158 240 248 258 276 326 336 356 398	-558161778876
STPT(10)	816230139886151327	0 2 30 32 42 44 54 56 84 86	527849737020
SPT(16)	816230574473813563	0 58 60 84 88 100 126 180 184 238 264 276 280 304 306 364	962437399256
SPT(16)	816230594263102391	0 6 48 86 102 126 156 170 228 242 272 296 312 350 392 398	982226688084
TPT(14)	816230600136324221	0 2 30 32 90 92 156 158 168 170 246 248 258 260	988099909914
STPT(10)	816230640616592819	0 2 48 50 60 62 72 74 120 122	1028580178512