Prime p₀= 10577455210452653 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 44 6 24 36 4 26 4 36 24 6 44 6 (?)
a_n: 0 6 50 56 80 116 120 146 150 186 210 216 260 266
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: 266
Found by: crashtech
db: batch=62, k=14, 6 44 6 24 36 4 26

SPT(14)	10577417711088763	0 40 64 78 84 108 124 150 166 190 196 210 234 274	-37499363890
SPT(14)	10577418566622671	0 18 30 158 168 192 210 308 326 350 360 488 500 518	-36643829982
SPT(14)	10577429418517037	0 42 62 104 140 146 152 174 180 186 222 264 284 326	-25791935616
SPT(14)	10577441563007999	0 114 140 150 158 182 210 362 390 414 422 432 458 572	-13647444654
SPT(14)	10577451146834101	0 6 12 18 22 28 36 52 60 66 70 76 82 88	-4063618552
TPT(12)	10577452074193349	0 2 78 80 168 170 198 200 210 212 228 230	-3136259304
TPT(12)	10577458990273937	0 2 24 26 54 56 60 62 192 194 210 212	3779821284
TPT(12)	10577465150259737	0 2 90 92 114 116 132 134 144 146 174 176	9939807084
SPT(14)	10577467112998861	0 28 40 70 148 168 186 280 298 318 396 426 438 466	11902546208
SPT(14)	10577470873304693	0 18 24 26 30 44 150 254 360 374 378 380 386 404	15662852040
SPT(14)	10577485581160889	0 30 122 132 182 230 248 342 360 408 458 468 560 590	30370708236