Prime p₀= 1295740722925223423 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 12 42 18 42 48 48 42 18 42 12 6 (?)
a_n: 0 6 18 60 78 120 168 216 258 276 318 330 336
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: 336
Found by: Cruncher Pete
db: batch=77, k=13, 6 12 42 18 42 48

SPT(16)	1295740368627395233	0 30 34 78 124 144 208 226 228 246 310 330 376 420 424 454	-354297828190
SPT(16)	1295740416059750671	0 10 70 90 132 148 178 180 220 222 252 268 310 330 390 400	-306865472752
STPT(10)	1295740468615957457	0 2 30 32 60 62 90 92 120 122	-254309265966
STPT(10)	1295740488768702017	0 2 30 32 42 44 54 56 84 86	-234156521406
SPT(16)	1295740577361021191	0 8 26 32 50 56 66 80 138 152 162 168 186 192 210 218	-145564202232
SPT(16)	1295740690723757009	0 30 32 42 84 128 222 228 254 260 354 398 440 450 452 482	-32201466414
SPT(16)	1295740769064793861	0 12 36 60 96 108 162 168 190 196 250 262 298 322 346 358	46139570438
SPT(16)	1295741363807641183	0 46 70 76 124 130 144 154 156 166 180 186 234 240 264 310	640882417760
SPT(16)	1295741545742436137	0 14 20 44 56 102 122 164 192 234 254 300 312 336 342 356	822817212714
STPT(10)	1295741572202790467	0 2 60 62 72 74 84 86 144 146	849277567044
SPT(16)	1295741788015607717	0 26 44 120 134 156 170 176 324 330 344 366 380 456 474 500	1065090384294