Prime p₀= 2605893761469261253 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 30 18 6 6 54 54 6 6 18 30 30 (?)
a_n: 0 30 60 78 84 90 144 198 204 210 228 258 288
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: 288
Found by: JayPi
db: batch=82, k=13, 30 30 18 6 6 54

SPT(16)	2605891617912601757	0 14 26 36 44 74 90 96 134 140 156 186 194 204 216 230	-2143556659496
SPT(16)	2605892003240109433	0 28 66 106 136 150 204 208 276 280 334 348 378 418 456 484	-1758229151820
STPT(10)	2605892893557909971	0 2 36 38 78 80 120 122 156 158	-867911351282
SPT(16)	2605893495229218017	0 26 90 102 140 162 180 200 336 356 374 396 434 446 510 536	-266240043236
STPT(10)	2605893576876168737	0 2 12 14 72 74 132 134 144 146	-184593092516
STPT(10)	2605893618858765419	0 2 18 20 30 32 42 44 60 62	-142610495834
SPT(16)	2605893970879377799	0 4 12 54 108 168 180 190 252 262 274 334 388 430 438 442	209410116546
SPT(16)	2605894092828627011	0 20 38 92 98 152 168 180 230 242 258 312 318 372 390 410	331359365758
SPT(16)	2605894113177954871	0 30 52 60 70 72 76 186 292 402 406 408 418 426 448 478	351708693618
STPT(10)	2605894150167034427	0 2 30 32 42 44 54 56 84 86	388697773174
SPT(13)	2605894173498937429	0 84 108 138 150 168 174 180 198 210 240 264 348	412029676176