Prime p₀= 511981550052375653 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 18 26 34 54 12 14 12 54 34 26 18 6 (?)
a_n: 0 6 24 50 84 138 150 164 176 230 264 290 308 314
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: 314
Found by: mcf2020
db: batch=71, k=14, 6 18 26 34 54 12 14

SPT(14)	511981450624254371	0 48 50 78 116 126 140 168 182 192 230 258 260 308	-99428121282
SPT(14)	511981453264125217	0 22 60 72 94 114 120 136 142 162 184 196 234 256	-96788250436
SPT(14)	511981462917136477	0 24 30 52 70 94 96 100 102 126 144 166 172 196	-87135239176
SPT(14)	511981495147886551	0 16 40 42 130 132 142 270 280 282 370 372 396 412	-54904489102
TPT(12)	511981510810995191	0 2 36 38 66 68 108 110 180 182 246 248	-39241380462
SPT(14)	511981542692177959	0 34 70 78 114 150 174 214 238 274 310 318 354 388	-7360197694
SPT(14)	511981582778140417	0 4 52 82 96 144 154 192 202 250 264 294 342 346	32725764764
TPT(12)	511981609895673077	0 2 12 14 24 26 210 212 240 242 252 254	59843297424
SPT(14)	511981612578360451	0 18 48 52 60 76 88 90 102 118 126 130 160 178	62525984798
SPT(14)	511981628896553987	0 2 20 26 30 42 66 110 134 146 150 156 174 176	78844178334
SPT(14)	511981631191278481	0 10 28 36 46 78 88 90 100 132 142 150 168 178	81138902828