Prime p₀= 400277659731133411 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 38 34 18 8 42 40 42 8 18 34 38 28 (?)
a_n: 0 28 66 100 118 126 168 208 250 258 276 310 348 376
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: 376
Found by: Ralfy
db: batch=70, k=14, 28 38 34 18 8 42 40

SPT(14)	400277579509592377	0 6 22 40 52 76 84 172 180 204 216 234 250 256	-80221541034
SPT(14)	400277600843310161	0 38 60 66 86 98 152 156 210 222 242 248 270 308	-58887823250
SPT(14)	400277606165605111	0 6 16 28 40 48 58 108 118 126 138 150 160 166	-53565528300
TPT(12)	400277632394031311	0 2 6 8 36 38 78 80 150 152 168 170	-27337102100
TPT(12)	400277636986176809	0 2 12 14 138 140 210 212 222 224 252 254	-22744956602
SPT(14)	400277637521630279	0 20 32 50 80 104 108 134 138 162 192 210 222 242	-22209503132
SPT(14)	400277665897521689	0 12 14 32 54 78 102 110 134 158 180 198 200 212	6166388278
TPT(12)	400277736722019887	0 2 42 44 54 56 90 92 150 152 210 212	76990886476
SPT(14)	400277743316511551	0 2 102 126 140 168 182 186 200 228 242 266 366 368	83585378140
SPT(14)	400277749125072307	0 4 12 34 40 54 60 124 130 144 150 172 180 184	89393938896
SPT(14)	400277760597256603	0 18 40 90 118 154 208 216 270 306 334 384 406 424	100866123192