Prime p₀= 2306565485096276947 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 6 24 16 14 16 36 14 6 22 6 14 36 16 14 16 24 6 (?)
a_n: 0 6 30 46 60 76 112 126 132 154 160 174 210 226 240 256 280 286
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 286
Found by: FritzB
db: batch=81, k=18, 6 24 16 14 16 36 14 6 22

SPT(16)	2306564050661286259	0 34 42 54 90 112 120 138 154 172 180 202 238 250 258 292	-1434434990688
STPT(10)	2306564151675109889	0 2 12 14 90 92 168 170 180 182	-1333421167058
SPT(16)	2306564511059984269	0 22 24 34 42 58 90 108 124 142 174 190 198 208 210 232	-974036292678
STPT(10)	2306565114091253957	0 2 30 32 42 44 54 56 84 86	-371005022990
SPT(16)	2306565328540455643	0 34 48 58 94 96 156 160 174 178 238 240 276 286 300 334	-156555821304
STPT(10)	2306565450189729611	0 2 36 38 78 80 120 122 156 158	-34906547336
SPT(16)	2306565644728225493	0 8 20 54 68 104 186 228 296 338 420 456 470 504 516 524	159631948546
TPT(14)	2306566046128917161	0 2 108 110 246 248 276 278 336 338 378 380 450 452	561032640214
SPT(16)	2306566049662211377	0 34 42 46 66 94 112 124 132 144 162 190 210 214 222 256	564565934430
TPT(14)	2306566133510567417	0 2 12 14 84 86 102 104 144 146 150 152 264 266	648414290470
SPT(16)	2306567075404946917	0 6 72 82 94 96 124 132 184 192 220 222 234 244 310 316	1590308669970