Prime p₀= 252899503401166249 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 30 110 6 12 28 2 28 12 6 110 30 4 (?)
a_n: 0 4 34 144 150 162 190 192 220 232 238 348 378 382
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: 382
Found by: scrap
db: batch=69, k=14, 4 30 110 6 12 28 2

SPT(14)	252899456712667993	0 28 30 34 100 210 258 280 328 438 504 508 510 538	-46688498256
SPT(14)	252899457539079821	0 12 38 78 86 92 108 140 156 162 170 210 236 248	-45862086428
SPT(14)	252899478843169607	0 12 50 60 86 102 144 152 194 210 236 246 284 296	-24557996642
SPT(14)	252899479469886191	0 20 60 116 138 150 152 216 218 230 252 308 348 368	-23931280058
SPT(14)	252899499134461931	0 8 20 36 66 78 92 96 110 122 152 168 180 188	-4266704318
SPT(16)	252899502544689397	0 22 60 70 82 106 144 150 166 172 210 234 246 256 294 316	-856476852
TPT(12)	252899519992665107	0 2 102 104 144 146 240 242 300 302 342 344	16591498858
TPT(12)	252899539467866969	0 2 18 20 30 32 138 140 210 212 228 230	36066700720
TPT(12)	252899545388282201	0 2 66 68 78 80 126 128 138 140 258 260	41987115952
TPT(12)	252899552871901421	0 2 48 50 66 68 78 80 96 98 126 128	49470735172
SPT(14)	252899570858458591	0 16 22 28 40 78 90 148 160 198 210 216 222 238	67457292342