Prime p₀= 2726423679061902563 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 36 24 6 36 24 24 36 6 24 36 24 (?)
a_n: 0 24 60 84 90 126 150 174 210 216 240 276 300
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 300
Found by: JayPi
db: batch=82, k=13, 24 36 24 6 36 24

SPT(16)	2726422230455656067	0 54 66 84 86 122 164 194 312 342 384 420 422 440 452 506	-1448606246496
SPT(16)	2726422486829124329	0 8 50 68 110 120 138 152 168 182 200 210 252 270 312 320	-1192232778234
SPT(16)	2726423017375727669	0 2 54 84 102 104 140 152 312 324 360 362 380 410 462 464	-661686174894
STPT(10)	2726423033744754101	0 2 6 8 18 20 30 32 36 38	-645317148462
STPT(10)	2726423164129555139	0 2 18 20 30 32 42 44 60 62	-514932347424
SPT(16)	2726423230846283099	0 24 32 74 104 140 152 158 174 180 192 228 258 300 308 332	-448215619464
STPT(10)	2726423857504893101	0 2 6 8 48 50 90 92 96 98	178442990538
SPT(16)	2726423859044688497	0 2 6 14 24 44 80 92 114 126 162 182 192 200 204 206	179982785934
SPT(16)	2726423988525478061	0 8 18 30 66 72 78 116 132 170 176 182 218 230 240 248	309463575498
STPT(10)	2726424141311291381	0 2 36 38 78 80 120 122 156 158	462249388818
SPT(16)	2726424429299861809	0 18 60 88 94 138 180 204 214 238 280 324 330 358 400 418	750237959246