Prime p₀= 278629969901752531 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 52 30 20 48 78 10 14 10 78 48 20 30 52 (?)
a_n: 0 52 82 102 150 228 238 252 262 340 388 408 438 490
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: 490
Found by: davidBAM
db: batch=69, k=14, 52 30 20 48 78 10 14

SPT(14)	278629905913320811	0 6 48 58 76 100 136 222 258 282 300 310 352 358	-63988431720
SPT(14)	278629918912804573	0 6 76 100 186 196 226 270 300 310 396 420 490 496	-50988947958
TPT(12)	278629929688855439	0 2 48 50 90 92 162 164 168 170 210 212	-40212897092
TPT(12)	278629943179114361	0 2 30 32 90 92 228 230 240 242 288 290	-26722638170
SPT(14)	278629947978381113	0 6 56 60 66 104 144 170 210 248 254 258 308 314	-21923371418
SPT(16)	278629969003130551	0 10 28 66 76 78 160 186 202 228 310 312 322 360 378 388	-898621980
TPT(12)	278629973310234827	0 2 24 26 30 32 54 56 180 182 204 206	3408482296
SPT(14)	278629978677501727	0 12 42 66 72 82 112 150 180 190 196 220 250 262	8775749196
SPT(14)	278629993809671011	0 30 60 112 126 162 180 232 250 286 300 352 382 412	23907918480
SPT(14)	278629994829331111	0 22 36 52 66 82 102 106 126 142 156 172 186 208	24927578580
SPT(14)	278630029803705823	0 18 40 60 66 70 90 124 144 148 154 174 196 214	59901953292