Prime p₀= 79339226803026577 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 2 28 66 12 44 4 44 12 66 28 2 4 (?)
a_n: 0 4 6 34 100 112 156 160 204 216 282 310 312 316
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: 316
Found by: bluestick.eu
db: batch=67, k=14, 4 2 28 66 12 44 4

SPT(14)	79339160003336551	0 10 16 22 36 66 70 108 112 142 156 162 168 178	-66799690026
STPT(10)	79339170569694821	0 2 30 32 78 80 126 128 156 158	-56233331756
SPT(16)	79339177329886429	0 4 22 60 64 70 88 90 112 114 132 138 142 180 198 202	-49473140148
TPT(12)	79339191742354571	0 2 66 68 150 152 156 158 210 212 276 278	-35060672006
TPT(12)	79339208782631069	0 2 42 44 108 110 138 140 228 230 252 254	-18020395508
TPT(12)	79339212281297537	0 2 60 62 84 86 90 92 270 272 312 314	-14521729040
SPT(14)	79339235808310477	0 30 60 84 130 132 136 150 154 156 202 226 256 286	9005283900
SPT(14)	79339237751198099	0 38 48 54 104 108 132 140 164 168 218 224 234 272	10948171522
SPT(14)	79339239848572849	0 12 18 22 52 70 78 112 120 138 168 172 178 190	13045546272
SPT(14)	79339239924630661	0 10 28 70 100 136 160 198 222 258 288 330 348 358	13121604084
SPT(14)	79339246911924541	0 16 42 48 58 70 72 76 78 90 100 106 132 148	20108897964