Prime p₀= 585590229690165131 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 68 24 28 2 28 38 22 38 28 2 28 24 68 (?)
a_n: 0 68 92 120 122 150 188 210 248 276 278 306 330 398
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: mcf2020
db: batch=71, k=14, 68 24 28 2 28 38 22

SPT(16)	585590125775712311	0 20 38 50 86 200 210 216 242 248 258 372 408 420 438 458	-103914452820
SPT(14)	585590126488975537	0 4 12 34 46 90 112 144 166 210 222 244 252 256	-103201189594
SPT(14)	585590142093750571	0 10 12 46 60 66 72 136 142 148 162 196 198 208	-87596414560
SPT(14)	585590155365840701	0 32 42 138 140 152 156 212 216 228 230 326 336 368	-74324324430
TPT(12)	585590156872221689	0 2 12 14 60 62 102 104 192 194 198 200	-72817943442
SPT(14)	585590206345309411	0 28 46 72 78 96 100 108 112 130 136 162 180 208	-23344855720
SPT(14)	585590242456558541	0 2 30 72 86 126 132 140 146 186 200 242 270 272	12766393410
SPT(14)	585590249423469221	0 42 50 72 78 86 96 152 162 170 176 198 206 248	19733304090
SPT(14)	585590250317521693	0 18 30 40 48 58 66 118 126 136 144 154 166 184	20627356562
TPT(12)	585590253868861817	0 2 30 32 90 92 102 104 162 164 174 176	24178696686
TPT(12)	585590254587590207	0 2 72 74 90 92 102 104 114 116 132 134	24897425076