Prime p₀= 2810400174228469817 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 54 12 30 30 30 54 54 30 30 30 12 54 (?)
a_n: 0 54 66 96 126 156 210 264 294 324 354 366 420
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: JayPi
db: batch=82, k=13, 54 12 30 30 30 54

SPT(16)	2810399023785359917	0 10 42 70 84 120 154 166 180 192 226 262 276 304 336 346	-1150443109900
SPT(16)	2810399112539351849	0 14 24 50 74 98 102 110 192 200 204 228 252 278 288 302	-1061689117968
SPT(16)	2810399608611856321	0 22 60 82 90 118 126 156 172 202 210 238 246 268 306 328	-565616613496
STPT(10)	2810399635977700967	0 2 30 32 72 74 114 116 144 146	-538250768850
STPT(12)	2810399745456915539	0 2 12 14 30 32 180 182 198 200 210 212	-428771554278
STPT(10)	2810399885486574341	0 2 36 38 78 80 120 122 156 158	-288741895476
SPT(16)	2810400200506565089	0 22 42 52 112 132 142 274 288 420 430 450 510 520 540 562	26278095272
TPT(14)	2810400383823888641	0 2 60 62 78 80 186 188 198 200 240 242 366 368	209595418824
STPT(10)	2810401135074136361	0 2 6 8 18 20 30 32 36 38	960845666544
STPT(10)	2810401186520969087	0 2 54 56 72 74 90 92 144 146	1012292499270
SPT(16)	2810401619307113983	0 4 30 40 88 114 154 166 258 270 310 336 384 394 420 424	1445078644166