Prime p₀= 2309658538081919987 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 14 12 16 20 42 42 34 42 42 20 16 12 14 30 (?)
a_n: 0 30 44 56 72 92 134 176 210 252 294 314 330 342 356 386
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 386
Found by: FritzB
db: batch=81, k=16, 30 14 12 16 20 42 42 34

SPT(16)	2309655846378280963	0 6 24 28 76 78 96 120 124 148 166 168 216 220 238 244	-2691703639024
SPT(16)	2309656647113955901	0 12 48 72 90 102 112 138 172 198 208 220 238 262 298 310	-1890967964086
SPT(16)	2309657000103453079	0 28 48 60 70 72 78 112 120 154 160 162 172 184 204 232	-1537978466908
SPT(16)	2309657039531933459	0 14 32 44 78 102 194 200 222 228 320 344 378 390 408 422	-1498549986528
STPT(10)	2309657258044273349	0 2 42 44 120 122 198 200 240 242	-1280037646638
TPT(14)	2309658296975779721	0 2 138 140 228 230 240 242 270 272 306 308 360 362	-241106140266
STPT(10)	2309658810148959077	0 2 12 14 42 44 72 74 84 86	272067039090
SPT(16)	2309658857140334989	0 24 28 48 58 70 90 100 102 112 132 144 154 174 178 202	319058415002
TPT(14)	2309658879559488227	0 2 42 44 84 86 222 224 324 326 330 332 390 392	341477568240
STPT(10)	2309659150302834311	0 2 36 38 78 80 120 122 156 158	612220914324
STPT(10)	2309659156339412201	0 2 30 32 78 80 126 128 156 158	618257492214