Prime p₀= 3091644868948261961 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 30 36 6 24 30 30 24 6 36 30 30 (?)
a_n: 0 30 60 96 102 126 156 186 210 216 252 282 312
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 312
Found by: L@MiR
db: batch=83, k=13, 30 30 36 6 24 30

SPT(16)	3091643749560988277	0 32 116 120 132 144 152 162 164 174 182 194 206 210 294 326	-1119387273684
SPT(16)	3091643751421361921	0 12 38 42 66 68 80 96 152 168 180 182 206 210 236 248	-1117526900040
SPT(16)	3091644086126194073	0 18 26 30 48 90 114 126 128 140 164 206 224 228 236 254	-782822067888
SPT(16)	3091644513035150971	0 12 16 40 42 78 90 100 138 148 160 196 198 222 226 238	-355913110990
SPT(16)	3091644531713385017	0 2 6 32 54 60 104 152 174 222 266 272 294 320 324 326	-337234876944
SPT(16)	3091644822872556077	0 30 32 44 50 92 96 140 156 200 204 246 252 264 266 296	-46075705884
SPT(16)	3091644980549320991	0 32 80 108 132 138 158 182 228 252 272 278 302 330 378 410	111601059030
STPT(10)	3091645084887237677	0 2 30 32 42 44 54 56 84 86	215938975716
STPT(10)	3091645210058262761	0 2 78 80 138 140 198 200 276 278	341110000800
SPT(16)	3091645777546657571	0 36 42 48 66 80 122 128 210 216 258 272 290 296 302 338	908598395610
TPT(14)	3091645784296816001	0 2 36 38 66 68 126 128 168 170 180 182 318 320	915348554040