Prime p₀= 402558217364877641 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 78 18 42 32 6 6 34 6 6 32 42 18 78 (?)
a_n: 0 78 96 138 170 176 182 216 222 228 260 302 320 398
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: 398
Found by: Cruncher Pete
db: batch=70, k=14, 78 18 42 32 6 6 34

SPT(14)	402558151955518301	0 12 56 72 78 152 168 290 306 380 386 402 446 458	-65409359340
TPT(12)	402558160607606411	0 2 48 50 78 80 90 92 156 158 168 170	-56757271230
SPT(14)	402558163930762753	0 40 60 78 144 238 250 294 306 400 466 484 504 544	-53434114888
SPT(14)	402558164761155829	0 10 18 52 88 112 130 132 150 174 210 244 252 262	-52603721812
TPT(12)	402558202082817791	0 2 36 38 96 98 138 140 150 152 168 170	-15282059850
SPT(14)	402558212734639831	0 22 30 42 70 72 78 100 106 108 136 148 156 178	-4630237810
SPT(14)	402558238070465137	0 12 34 52 82 96 124 192 220 234 264 282 304 316	20705587496
SPT(14)	402558243822176209	0 22 40 42 70 82 84 130 132 144 172 174 192 214	26457298568
SPT(14)	402558262240744031	0 2 8 42 48 56 102 146 192 200 206 240 246 248	44875866390
SPT(14)	402558277979692907	0 30 42 72 90 116 122 150 156 182 200 230 242 272	60614815266
SPT(14)	402558283890342313	0 10 34 48 54 94 100 108 114 154 160 174 198 208	66525464672