Prime p₀= 70786979955729659 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 20 42 6 100 26 6 22 6 26 100 6 42 20 (?)
a_n: 0 20 62 68 168 194 200 222 228 254 354 360 402 422
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: 422
Found by: emoga
db: batch=67, k=14, 20 42 6 100 26 6 22

SPT(14)	70786940301733919	0 20 68 72 98 102 120 152 170 174 200 204 252 272	-39653995740
SPT(14)	70786950384312629	0 32 38 132 140 188 192 260 264 312 320 414 420 452	-29571417030
SPT(14)	70786952398940621	0 32 42 50 68 72 90 140 158 162 180 188 198 230	-27556789038
SPT(14)	70786958537368279	0 48 108 114 120 150 160 198 208 238 244 250 310 358	-21418361380
SPT(14)	70786960492546871	0 30 42 72 80 110 140 180 210 240 248 278 290 320	-19463182788
SPT(14)	70786967005366333	0 36 54 96 120 124 130 144 150 154 178 220 238 274	-12950363326
SPT(14)	70786982575164139	0 4 30 42 58 78 88 114 124 144 160 172 198 202	2619434480
SPT(14)	70786994098155067	0 22 42 84 120 126 150 256 280 286 322 364 384 406	14142425408
SPT(14)	70786996135614299	0 24 30 84 90 98 120 212 234 242 248 302 308 332	16179884640
SPT(14)	70786997960104639	0 10 12 28 78 90 100 132 142 154 204 220 222 232	18004374980
TPT(12)	70787005572369059	0 2 30 32 42 44 72 74 108 110 120 122	25616639400