Prime p₀= 2923218039380956319 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 12 18 24 60 18 18 60 24 18 12 18 (?)
a_n: 0 18 30 48 72 132 150 168 228 252 270 282 300
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: 300
Found by: Landjunge
db: batch=82, k=13, 18 12 18 24 60 18

SPT(16)	2923216306754846213	0 24 56 60 80 86 114 140 210 236 264 270 290 294 326 350	-1732626110106
STPT(10)	2923216328052168329	0 2 18 20 30 32 42 44 60 62	-1711328787990
SPT(16)	2923216640830777771	0 28 60 72 88 90 120 172 198 250 280 282 298 310 342 370	-1398550178548
STPT(10)	2923217068876445777	0 2 60 62 102 104 144 146 204 206	-970504510542
SPT(16)	2923217217166178843	0 8 30 36 50 56 98 114 170 186 228 234 248 254 276 284	-822214777476
STPT(10)	2923217775225387317	0 2 60 62 72 74 84 86 144 146	-264155569002
STPT(10)	2923218173480296127	0 2 42 44 72 74 102 104 144 146	134099339808
SPT(16)	2923218273917806859	0 12 18 24 68 108 134 144 158 168 194 234 278 284 290 302	234536850540
TPT(14)	2923218757238601467	0 2 60 62 72 74 162 164 240 242 294 296 312 314	717857645148
SPT(16)	2923219322590604771	0 6 32 38 42 56 62 116 132 186 192 206 210 216 242 248	1283209648452
STPT(10)	2923220855557494377	0 2 30 32 42 44 54 56 84 86	2816176538058