Prime p₀= 120117174876102311 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 78 50 22 18 14 16 14 18 22 50 78 18 (?)
a_n: 0 18 96 146 168 186 200 216 230 248 270 320 398 416
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: 416
Found by: amazing
db: batch=67, k=14, 18 78 50 22 18 14 16

SPT(14)	120117098588864719	0 12 70 94 102 112 130 132 150 160 168 192 250 262	-76287237592
TPT(12)	120117110965685957	0 2 12 14 30 32 54 56 60 62 114 116	-63910416354
SPT(14)	120117117289489651	0 22 42 52 66 100 102 160 162 196 210 220 240 262	-57586612660
SPT(14)	120117124497386551	0 12 28 30 52 58 90 160 192 198 220 222 238 250	-50378715760
SPT(14)	120117141869409889	0 40 70 94 114 142 172 330 360 388 408 432 462 502	-33006692422
TPT(12)	120117161061352319	0 2 18 20 60 62 102 104 138 140 168 170	-13814749992
SPT(14)	120117188990605973	0 26 36 56 74 96 104 180 188 210 228 248 258 284	14114503662
SPT(14)	120117199388131763	0 24 74 90 168 186 188 276 278 296 374 390 440 464	24512029452
SPT(14)	120117203509713023	0 6 8 14 50 78 96 98 116 144 180 186 188 194	28633610712
SPT(14)	120117204639693181	0 40 42 120 130 138 148 222 232 240 250 328 330 370	29763590870
SPT(14)	120117209636188117	0 16 30 34 84 90 106 174 190 196 246 250 264 280	34760085806