Prime p₀= 401158711617603857 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 12 28 6 14 60 52 60 14 6 28 12 14 (?)
a_n: 0 14 26 54 60 74 134 186 246 260 266 294 306 320
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: 320
Found by: Cruncher Pete
db: batch=70, k=14, 14 12 28 6 14 60 52

SPT(14)	401158636268244353	0 48 80 98 108 114 120 134 140 146 156 174 206 254	-75349359504
SPT(14)	401158662242644429	0 12 78 100 114 154 204 208 258 298 312 334 400 412	-49374959428
SPT(14)	401158671908355019	0 40 112 148 162 192 228 274 310 340 354 390 462 502	-39709248838
SPT(14)	401158675891351951	0 28 46 70 72 102 108 160 166 196 198 222 240 268	-35726251906
TPT(14)	401158683562451957	0 2 30 32 72 74 84 86 114 116 132 134 240 242	-28055151900
TPT(12)	401158701729503981	0 2 18 20 30 32 90 92 96 98 156 158	-9888099876
SPT(14)	401158724122430531	0 6 38 66 80 90 96 152 158 168 182 210 242 248	12504826674
SPT(14)	401158726524709289	0 14 50 92 108 152 234 248 330 374 390 432 468 482	14907105432
TPT(12)	401158727359007699	0 2 30 32 72 74 90 92 102 104 168 170	15741403842
SPT(16)	401158729289253269	0 42 60 78 102 110 162 228 284 350 402 410 434 452 470 512	17671649412
TPT(12)	401158734789945749	0 2 12 14 78 80 108 110 138 140 222 224	23172341892