Prime p₀= 345354978243478789 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 36 34 24 12 54 86 54 12 24 34 36 18 (?)
a_n: 0 18 54 88 112 124 178 264 318 330 354 388 424 442
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: 442
Found by: Ralfy
db: batch=70, k=14, 18 36 34 24 12 54 86

SPT(16)	345354903926740151	0 6 26 30 36 66 72 86 132 146 152 182 188 192 212 218	-74316738638
SPT(14)	345354908111381411	0 42 60 90 92 102 132 176 206 216 218 248 266 308	-70132097378
SPT(14)	345354947594921647	0 4 52 60 64 70 76 120 126 132 136 144 192 196	-30648557142
SPT(14)	345354948224645321	0 6 26 48 68 78 92 96 110 120 140 162 182 188	-30018833468
SPT(14)	345354950269874599	0 10 48 90 94 120 150 178 208 234 238 280 318 328	-27973604190
SPT(14)	345354953114479367	0 2 20 44 72 80 86 90 96 104 132 156 174 176	-25128999422
SPT(14)	345355001051351971	0 10 12 40 60 78 102 106 130 148 168 196 198 208	22807873182
SPT(14)	345355011859006549	0 30 52 72 78 112 138 154 180 214 220 240 262 292	33615527760
SPT(14)	345355012101860459	0 54 80 140 150 152 194 450 492 494 504 564 590 644	33858381670
SPT(14)	345355013463790903	0 28 58 60 136 144 166 228 250 258 334 336 366 394	35220312114
SPT(14)	345355034604437197	0 4 6 72 90 124 126 160 162 196 214 280 282 286	56360958408