Prime p₀= 262501290967008263 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 8 16 6 48 30 26 16 26 30 48 6 16 8 (?)
a_n: 0 8 24 30 78 108 134 150 176 206 254 260 276 284
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: Paul
db: batch=69, k=14, 8 16 6 48 30 26 16

SPT(14)	262501257404506487	0 12 20 24 104 126 132 224 230 252 332 336 344 356	-33562501776
TPT(12)	262501258727394857	0 2 30 32 42 44 60 62 120 122 162 164	-32239613406
SPT(14)	262501267559028427	0 24 30 34 54 70 72 112 114 130 150 154 160 184	-23407979836
SPT(14)	262501269257201287	0 4 40 70 82 154 162 172 180 252 264 294 330 334	-21709806976
STPT(10)	262501276795995581	0 2 36 38 78 80 120 122 156 158	-14171012682
SPT(14)	262501289030940241	0 10 52 66 72 90 130 282 322 340 346 360 402 412	-1936068022
TPT(12)	262501294986719681	0 2 48 50 60 62 90 92 126 128 168 170	4019711418
TPT(12)	262501295878762481	0 2 30 32 36 38 60 62 78 80 156 158	4911754218
SPT(14)	262501298849821243	0 10 34 36 88 148 168 196 216 276 328 330 354 364	7882812980
SPT(14)	262501301094777169	0 10 34 124 148 162 172 210 220 234 258 348 372 382	10127768906
SPT(14)	262501331929875781	0 30 36 72 96 106 142 150 186 196 220 256 262 292	40962867518