Prime p₀= 2294060978112603823 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 24 24 30 6 120 120 6 30 24 24 6 (?)
a_n: 0 6 30 54 84 90 210 330 336 366 390 414 420
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: 420
Found by: Landjunge
db: batch=81, k=13, 6 24 24 30 6 120

SPT(16)	2294060289062059621	0 22 36 48 70 90 132 136 162 166 208 228 250 262 276 298	-689050544202
SPT(16)	2294060428149471797	0 14 60 110 126 180 252 270 296 314 386 440 456 506 552 566	-549963132026
STPT(10)	2294060568797704037	0 2 90 92 102 104 114 116 204 206	-409314899786
SPT(16)	2294060601937951519	0 24 28 54 72 84 100 144 148 192 208 220 238 264 268 292	-376174652304
SPT(16)	2294060676159407761	0 28 36 58 72 82 88 156 172 240 246 256 270 292 300 328	-301953196062
STPT(10)	2294060857131337961	0 2 6 8 18 20 30 32 36 38	-120981265862
STPT(10)	2294061089657770577	0 2 42 44 72 74 102 104 144 146	111545166754
SPT(16)	2294061229161547939	0 60 88 100 168 174 178 198 214 234 238 244 312 324 352 412	251048944116
SPT(16)	2294061357180671987	0 30 32 44 62 86 96 122 174 200 210 234 252 264 266 296	379068068164
STPT(10)	2294061780579871397	0 2 30 32 42 44 54 56 84 86	802467267574
SPT(16)	2294061985110428333	0 6 36 38 48 66 78 114 140 176 188 206 216 218 248 254	1006997824510