Prime p₀= 2697181345671503021 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 30 24 18 12 78 78 12 18 24 30 6 (?)
a_n: 0 6 36 60 78 90 168 246 258 276 300 330 336
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: [SG-FC] hl
db: batch=82, k=13, 6 30 24 18 12 78

SPT(16)	2697179799327229303	0 124 136 138 156 174 204 226 258 280 310 328 346 348 360 484	-1546344273718
SPT(16)	2697180097759768667	0 14 74 140 204 224 230 252 272 294 300 320 384 450 510 524	-1247911734354
TPT(14)	2697180292683132251	0 2 6 8 48 50 78 80 228 230 246 248 288 290	-1052988370770
TPT(16)	2697180321350176271	0 2 30 32 78 80 150 152 306 308 330 332 348 350 420 422	-1024321326750
STPT(10)	2697180362404764317	0 2 42 44 72 74 102 104 144 146	-983266738704
SPT(16)	2697181273318241221	0 36 40 42 46 52 58 100 108 150 156 162 166 168 172 208	-72353261800
SPT(16)	2697181379837930707	0 30 82 94 96 106 142 144 232 234 270 280 282 294 346 376	34166427686
SPT(16)	2697181424254371907	0 4 6 46 84 90 144 160 180 196 250 256 294 334 336 340	78582868886
STPT(10)	2697182338592631059	0 2 18 20 30 32 42 44 60 62	992921128038
STPT(10)	2697182884393472201	0 2 126 128 138 140 150 152 276 278	1538721969180
STPT(10)	2697183427491745079	0 2 18 20 30 32 42 44 60 62	2081820242058