Prime p₀= 2253820367938792337 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2253819612265882597	0 4 30 46 54 60 96 154 186 244 280 286 294 310 336 340	-755672909740
SPT(16)	2253819861021230009	0 2 54 72 78 114 128 170 222 264 278 314 320 338 390 392	-506917562328
SPT(16)	2253819923738352667	0 24 34 52 54 64 70 136 150 216 222 232 234 252 262 286	-444200439670
SPT(13)	2253820063684045891	0 30 42 60 90 102 150 198 210 240 258 270 300	-304254746446
STPT(10)	2253820069047014519	0 2 18 20 30 32 42 44 60 62	-298891777818
SPT(16)	2253820231657898153	0 18 26 50 78 116 144 194 210 260 288 326 354 378 386 404	-136280894184
SPT(16)	2253820960020765851	0 6 8 30 60 86 102 122 126 146 162 188 218 240 242 248	592081973514
STPT(10)	2253821303449222217	0 2 12 14 42 44 72 74 84 86	935510429880
SPT(16)	2253821443082389907	0 24 30 96 104 114 116 126 254 264 266 276 284 350 356 380	1075143597570
STPT(10)	2253821706324689507	0 2 30 32 42 44 54 56 84 86	1338385897170
TPT(14)	2253822227819777621	0 2 108 110 138 140 156 158 198 200 210 212 276 278	1859880985284