Prime p₀= 444429816527922889 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 52 30 66 30 44 16 44 30 66 30 52 30 (?)
a_n: 0 30 82 112 178 208 252 268 312 342 408 438 490 520
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: 520
Found by: scrap
db: batch=70, k=14, 30 52 30 66 30 44 16

SPT(14)	444429731562968117	0 66 80 92 110 126 156 176 206 222 240 252 266 332	-84964954772
STPT(10)	444429758824067747	0 2 90 92 150 152 210 212 300 302	-57703855142
TPT(12)	444429797881765559	0 2 12 14 48 50 78 80 90 92 138 140	-18646157330
TPT(12)	444429803014877129	0 2 30 32 48 50 228 230 258 260 312 314	-13513045760
SPT(14)	444429805323950581	0 6 10 18 42 90 156 172 238 286 310 318 322 328	-11203972308
SPT(14)	444429805538307311	0 38 56 86 90 92 116 132 156 158 162 192 210 248	-10989615578
SPT(14)	444429821793597763	0 28 34 76 78 96 118 126 148 166 168 210 216 244	5265674874
SPT(14)	444429831441219653	0 8 18 44 50 60 96 98 134 144 150 176 186 194	14913296764
SPT(14)	444429835807575103	0 40 120 148 160 166 210 286 330 336 348 376 456 496	19279652214
TPT(12)	444429842678134037	0 2 84 86 102 104 114 116 132 134 240 242	26150211148
SPT(14)	444429857126246239	0 24 28 48 150 160 178 180 198 208 310 330 334 358	40598323350