Prime p₀= 2312283369449103829 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 26 4 8 6 40 6 74 6 40 6 8 4 26 4 (?)
a_n: 0 4 30 34 42 48 88 94 168 174 214 220 228 232 258 262
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: 262
Found by: Orange Kid
db: batch=81, k=16, 4 26 4 8 6 40 6 74

STPT(10)	2312280823372716137	0 2 30 32 42 44 54 56 84 86	-2546076387692
STPT(10)	2312280889382531537	0 2 30 32 42 44 54 56 84 86	-2480066572292
SPT(16)	2312281302588333631	0 48 58 88 118 130 150 156 190 196 216 228 258 288 298 346	-2066860770198
SPT(16)	2312281488697117489	0 12 34 40 54 58 60 82 90 112 114 118 132 138 160 172	-1880751986340
SPT(16)	2312281819091706983	0 14 24 48 54 80 140 146 198 204 264 290 296 320 330 344	-1550357396846
STPT(10)	2312283219047372189	0 2 48 50 90 92 132 134 180 182	-150401731640
STPT(10)	2312284102848613181	0 2 36 38 78 80 120 122 156 158	733399509352
STPT(10)	2312284262771461397	0 2 12 14 42 44 72 74 84 86	893322357568
STPT(10)	2312284356020741621	0 2 36 38 78 80 120 122 156 158	986571637792
SPT(16)	2312284410709174787	0 14 30 54 56 96 116 132 194 210 230 270 272 296 312 326	1041260070958
SPT(16)	2312284749320856467	0 6 14 72 86 132 164 174 212 222 254 300 314 372 380 386	1379871752638