Prime p₀= 2390814722432702779 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 54 12 78 30 6 6 30 78 12 54 24 (?)
a_n: 0 24 78 90 168 198 204 210 240 318 330 384 408
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: 408
Found by: MarkRBright
db: batch=81, k=13, 24 54 12 78 30 6

SPT(16)	2390813119615296973	0 18 34 78 84 90 100 120 268 288 298 304 310 354 370 388	-1602817405806
TPT(14)	2390813129756503139	0 2 30 32 72 74 120 122 198 200 240 242 282 284	-1592676199640
STPT(10)	2390813617001829287	0 2 30 32 72 74 114 116 144 146	-1105430873492
SPT(16)	2390814202833795481	0 10 28 36 46 70 112 142 156 186 228 252 262 270 288 298	-519598907298
SPT(16)	2390814437383523491	0 6 42 48 58 72 106 126 202 222 256 270 280 286 322 328	-285049179288
STPT(10)	2390814680501450039	0 2 12 14 90 92 168 170 180 182	-41931252740
STPT(10)	2390814955453462787	0 2 12 14 42 44 72 74 84 86	233020760008
STPT(10)	2390814982272022511	0 2 6 8 18 20 30 32 36 38	259839319732
SPT(16)	2390815209941576731	0 42 52 96 120 126 132 136 192 196 202 208 232 276 286 328	487508873952
SPT(16)	2390815301301609269	0 48 50 54 90 98 140 180 248 288 330 338 374 378 380 428	578868906490
STPT(12)	2390815569922701917	0 2 72 74 90 92 114 116 132 134 204 206	847489999138