Prime p₀= 2313280483365379529 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 6 36 18 6 60 60 6 18 36 6 18 (?)
a_n: 0 18 24 60 78 84 144 204 210 228 264 270 288
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: 288
Found by: Landjunge
db: batch=81, k=13, 18 6 36 18 6 60

SPT(16)	2313279088213360381	0 36 48 78 90 142 168 192 196 220 246 298 310 340 352 388	-1395152019148
SPT(16)	2313279225397522891	0 12 28 42 88 120 148 172 246 270 298 330 376 390 406 418	-1257967856638
SPT(16)	2313279386709455663	0 20 38 44 48 90 104 114 134 144 158 200 204 210 228 248	-1096655923866
SPT(16)	2313279494121240817	0 6 34 42 106 130 142 204 292 354 366 390 454 462 490 496	-989244138712
TPT(14)	2313279522711389381	0 2 210 212 240 242 396 398 450 452 468 470 510 512	-960653990148
STPT(10)	2313280366872480581	0 2 36 38 78 80 120 122 156 158	-116492898948
SPT(16)	2313280760844308201	0 6 48 62 90 122 150 162 176 188 216 248 276 290 332 338	277478928672
STPT(10)	2313280932511169417	0 2 24 26 42 44 60 62 84 86	449145789888
STPT(12)	2313281468016462239	0 2 60 62 72 74 90 92 102 104 162 164	984651082710
STPT(10)	2313281498984611457	0 2 30 32 42 44 54 56 84 86	1015619231928
STPT(10)	2313281528425395137	0 2 30 32 42 44 54 56 84 86	1045060015608