Prime p₀= 279588991107736487 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 22 6 6 24 12 62 12 24 6 6 22 2 (?)
a_n: 0 2 24 30 36 60 72 134 146 170 176 182 204 206
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: 206
Found by: desktop64
db: batch=69, k=14, 2 22 6 6 24 12 62

SPT(14)	279588967446027607	0 12 36 70 82 124 154 222 252 294 306 340 364 376	-23661708880
TPT(12)	279588969783351209	0 2 18 20 78 80 120 122 198 200 252 254	-21324385278
STPT(14)	279588977281551137	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-13826185350
TPT(14)	279588977281551137	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-13826185350
SPT(14)	279588977281551137	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-13826185350
SPT(14)	279588989614189147	0 12 34 46 54 76 124 132 180 202 210 222 244 256	-1493547340
SPT(14)	279589011348338353	0 28 36 78 90 126 148 168 190 226 238 280 288 316	20240601866
STPT(10)	279589016212981817	0 2 24 26 42 44 60 62 84 86	25105245330
SPT(14)	279589023428995109	0 8 12 32 44 78 92 180 194 228 240 260 264 272	32321258622
TPT(12)	279589033638757289	0 2 12 14 18 20 102 104 210 212 228 230	42531020802
SPT(14)	279589047553638803	0 56 68 80 116 138 180 224 266 288 324 336 348 404	56445902316