Prime p₀= 576568802696580311 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 18 12 18 42 8 4 8 42 18 12 18 30 (?)
a_n: 0 30 48 60 78 120 128 132 140 182 200 212 230 260
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: 260
Found by: marsinph
db: batch=71, k=14, 30 18 12 18 42 8 4

SPT(14)	576568755309282413	0 66 96 150 198 200 210 266 276 278 326 380 410 476	-47387297898
SPT(14)	576568759379470579	0 42 52 72 78 100 108 112 120 142 148 168 178 220	-43317109732
SPT(14)	576568766246430329	0 14 38 128 182 198 260 282 344 360 414 504 528 542	-36450149982
SPT(14)	576568768750545799	0 4 72 78 88 90 100 132 142 144 154 160 228 232	-33946034512
SPT(16)	576568769691634411	0 6 18 28 66 70 112 118 150 156 198 202 240 250 262 268	-33004945900
TPT(14)	576568777932395579	0 2 48 50 60 62 78 80 168 170 240 242 270 272	-24764184732
TPT(14)	576568803419298791	0 2 126 128 138 140 180 182 288 290 336 338 390 392	722718480
SPT(14)	576568805186710837	0 12 42 72 90 112 120 124 132 154 172 202 232 244	2490130526
TPT(12)	576568815043602851	0 2 96 98 198 200 240 242 246 248 288 290	12347022540
SPT(16)	576568841536031563	0 24 64 66 114 118 148 150 154 156 186 190 238 240 280 304	38839451252
SPT(14)	576568842337690877	0 20 26 42 80 110 120 152 162 192 230 246 252 272	39641110566