Prime p₀= 174650217799563431 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 30 8 24 40 26 16 26 40 24 8 30 18 (?)
a_n: 0 18 48 56 80 120 146 162 188 228 252 260 290 308
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: 308
Found by: emoga
db: batch=67, k=14, 18 30 8 24 40 26 16

SPT(14)	174650168100534781	0 18 70 78 96 118 208 210 300 322 340 348 400 418	-49699028650
SPT(14)	174650172487408039	0 10 34 42 52 118 120 232 234 300 310 318 342 352	-45312155392
SPT(14)	174650172748476701	0 8 42 50 92 110 138 170 198 216 258 266 300 308	-45051086730
SPT(14)	174650187912343049	0 12 32 60 78 110 128 144 162 194 212 240 260 272	-29887220382
SPT(14)	174650211512847089	0 32 38 42 50 54 90 152 188 192 200 204 210 242	-6286716342
SPT(14)	174650213073961969	0 12 28 42 60 78 84 148 154 172 190 204 220 232	-4725601462
TPT(12)	174650233980602621	0 2 36 38 90 92 96 98 168 170 180 182	16181039190
TPT(12)	174650244249002747	0 2 12 14 30 32 42 44 54 56 84 86	26449439316
TPT(12)	174650257483770701	0 2 48 50 78 80 96 98 120 122 150 152	39684207270
TPT(12)	174650260249809599	0 2 12 14 48 50 78 80 90 92 138 140	42450246168
SPT(14)	174650264518313071	0 48 52 66 70 78 112 186 220 228 232 246 250 298	46718749640