Prime p₀= 278632835634811439 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 24 42 4 8 52 104 52 8 4 42 24 14 (?)
a_n: 0 14 38 80 84 92 144 248 300 308 312 354 378 392
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: 392
Found by: Ralfy
db: batch=69, k=14, 14 24 42 4 8 52 104

SPT(14)	278632699504000213	0 4 88 114 136 144 154 210 220 228 250 276 360 364	-136130811226
SPT(14)	278632726520828299	0 34 72 118 138 142 154 168 180 184 204 250 288 322	-109113983140
SPT(14)	278632750631078561	0 12 48 86 128 156 182 186 212 240 282 320 356 368	-85003732878
STPT(10)	278632760858812037	0 2 12 14 42 44 72 74 84 86	-74775999402
TPT(12)	278632783455956129	0 2 12 14 30 32 48 50 198 200 210 212	-52178855310
STPT(10)	278632800290770697	0 2 72 74 102 104 132 134 204 206	-35344040742
SPT(14)	278632861703507891	0 20 32 38 42 60 68 180 188 206 210 216 228 248	26068696452
SPT(14)	278632887136392181	0 22 40 72 78 100 108 142 150 172 178 210 228 250	51501580742
SPT(14)	278632900678896349	0 18 22 40 84 88 102 130 144 148 192 210 214 232	65044084910
TPT(12)	278632921692706121	0 2 48 50 60 62 78 80 168 170 186 188	86057894682
SPT(14)	278632947851552797	0 24 42 46 52 100 136 270 306 354 360 364 382 406	112216741358