Prime p₀= 10576518117863899 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 6 8 6 58 12 74 12 58 6 8 6 4 (?)
a_n: 0 4 10 18 24 82 94 168 180 238 244 252 258 262
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: 262
Found by: Egon olsen
db: batch=62, k=14, 4 6 8 6 58 12 74

SPT(14)	10576482491841293	0 14 20 54 104 108 126 128 146 150 200 234 240 254	-35626022606
SPT(14)	10576493546584747	0 6 40 46 52 84 90 166 172 204 210 216 250 256	-24571279152
SPT(14)	10576498734421541	0 12 38 48 60 122 140 150 168 230 242 252 278 290	-19383442358
SPT(14)	10576500136826971	0 18 36 76 90 130 162 196 228 268 282 322 340 358	-17981036928
SPT(14)	10576510765869121	0 16 42 52 106 166 190 198 222 282 336 346 372 388	-7351994778
TPT(12)	10576517533837037	0 2 54 56 102 104 144 146 180 182 210 212	-584026862
TPT(12)	10576522117223519	0 2 30 32 72 74 120 122 132 134 162 164	3999359620
SPT(14)	10576523777341699	0 24 28 60 64 90 100 162 172 198 202 234 238 262	5659477800
TPT(12)	10576530919186457	0 2 54 56 222 224 240 242 252 254 324 326	12801322558
TPT(12)	10576540348912001	0 2 6 8 36 38 78 80 126 128 168 170	22231048102
SPT(14)	10576547678154457	0 4 52 70 84 90 102 142 154 160 174 192 240 244	29560290558