Prime p₀= 215843149510163251 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 58 2 6 30 6 6 22 6 6 30 6 2 58 (?)
a_n: 0 58 60 66 96 102 108 130 136 142 172 178 180 238
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: 238
Found by: Megacruncher
db: batch=69, k=14, 58 2 6 30 6 6 22

SPT(16)	215843074486740691	0 6 28 58 130 156 160 162 196 198 202 228 300 330 352 358	-75023422560
SPT(14)	215843107610954107	0 6 22 30 72 100 142 144 186 214 256 264 280 286	-41899209144
SPT(16)	215843113313678297	0 12 30 42 156 170 236 276 296 336 402 416 530 542 560 572	-36196484954
SPT(14)	215843129355153551	0 6 12 32 56 80 108 140 168 192 216 236 242 248	-20155009700
SPT(14)	215843131293547523	0 80 126 128 138 146 156 188 198 206 216 218 264 344	-18216615728
TPT(12)	215843144719182791	0 2 18 20 30 32 186 188 198 200 228 230	-4790980460
SPT(14)	215843172331381723	0 64 84 90 108 130 150 214 234 256 274 280 300 364	22821218472
SPT(14)	215843179412437349	0 12 62 78 120 132 134 168 170 182 224 240 290 302	29902274098
SPT(14)	215843181254167867	0 70 102 126 144 162 246 280 364 382 400 424 456 526	31744004616
SPT(14)	215843204410684541	0 32 48 62 78 120 132 176 188 230 246 260 276 308	54900521290
SPT(14)	215843209677267779	0 8 48 50 140 144 222 230 308 312 402 404 444 452	60167104528