Prime p₀= 2944104981889819871 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 30 12 30 60 30 30 60 30 12 30 6 (?)
a_n: 0 6 36 48 78 138 168 198 258 288 300 330 336
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: 336
Found by: ginga
db: batch=82, k=13, 6 30 12 30 60 30

SPT(16)	2944103283454820051	0 32 60 78 92 110 120 206 222 308 318 336 350 368 396 428	-1698434999820
STPT(10)	2944103469396134951	0 2 6 8 48 50 90 92 96 98	-1512493684920
SPT(16)	2944103755647063463	0 48 60 100 108 126 130 136 150 156 160 178 186 226 238 286	-1226242756408
SPT(16)	2944104301126396021	0 12 52 66 78 82 126 136 162 172 216 220 232 246 286 298	-680763423850
STPT(10)	2944104469382059799	0 2 12 14 30 32 48 50 60 62	-512507760072
STPT(10)	2944104564339567491	0 2 36 38 78 80 120 122 156 158	-417550252380
SPT(18)	2944105145586394109	0 8 42 80 102 108 182 192 204 248 260 270 344 350 372 410 444 452	163696574238
SPT(16)	2944105601413236917	0 26 62 66 86 144 236 252 254 270 362 420 440 444 480 506	619523417046
SPT(16)	2944105619001507757	0 16 30 82 142 174 186 216 220 250 262 294 354 406 420 436	637111687886
SPT(16)	2944106081092365713	0 18 54 84 90 104 108 110 144 146 150 164 170 200 236 254	1099202545842
STPT(10)	2944106698025013317	0 2 30 32 42 44 54 56 84 86	1716135193446