Prime p₀= 400336876578620837 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 30 20 58 2 4 50 4 2 58 20 30 6 (?)
a_n: 0 6 36 56 114 116 120 170 174 176 234 254 284 290
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: 290
Found by: Cruncher Pete
db: batch=70, k=14, 6 30 20 58 2 4 50

TPT(12)	400336796629401089	0 2 12 14 78 80 150 152 162 164 168 170	-79949219748
SPT(14)	400336810628709377	0 12 14 20 30 86 104 132 150 206 216 222 224 236	-65949911460
SPT(14)	400336844060391919	0 24 48 52 70 72 88 114 130 132 150 154 178 202	-32518228918
SPT(14)	400336844127098797	0 34 46 66 132 150 190 216 256 274 340 360 372 406	-32451522040
SPT(14)	400336855833441001	0 10 12 70 88 112 118 150 156 180 198 256 258 268	-20745179836
SPT(14)	400336864218804731	0 12 60 78 108 150 152 168 170 212 242 260 308 320	-12359816106
SPT(14)	400336893022757981	0 2 12 56 66 80 92 210 222 236 246 290 300 302	16444137144
SPT(14)	400336907795328443	0 14 30 36 60 66 78 86 98 104 128 134 150 164	31216707606
SPT(20)	400336946756204417	0 32 56 72 84 114 120 144 176 186 260 270 302 326 332 362 374 390 414 446	70177583580
SPT(14)	400336993132872781	0 12 60 130 150 196 220 228 252 298 318 388 436 448	116554251944
SPT(14)	400337020386627803	0 8 78 96 146 156 180 206 230 240 290 308 378 386	143808006966