Prime p₀= 281251628813547901 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 4 50 6 46 18 2 18 46 6 50 4 6 (?)
a_n: 0 6 10 60 66 112 130 132 150 196 202 252 256 262
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: 262
Found by: desktop64
db: batch=69, k=14, 6 4 50 6 46 18 2

SPT(14)	281251565231895289	0 22 64 72 100 120 132 142 154 174 202 210 252 274	-63581652612
STPT(10)	281251578498605129	0 2 18 20 30 32 42 44 60 62	-50314942772
SPT(14)	281251596852267007	0 22 96 124 130 154 184 192 222 246 252 280 354 376	-31961280894
SPT(14)	281251608553685173	0 24 34 48 60 136 178 186 228 304 316 330 340 364	-20259862728
SPT(14)	281251624485838673	0 8 18 24 36 44 80 84 120 128 140 146 156 164	-4327709228
SPT(14)	281251628029109383	0 16 46 48 90 100 120 154 174 184 226 228 258 274	-784438518
TPT(12)	281251630837170737	0 2 42 44 72 74 84 86 120 122 132 134	2023622836
TPT(12)	281251636187113619	0 2 18 20 30 32 60 62 150 152 198 200	7373565718
SPT(14)	281251643831996599	0 4 24 48 90 108 124 138 154 172 214 238 258 262	15018448698
SPT(14)	281251646560283149	0 28 60 70 72 90 100 102 112 130 132 142 174 202	17746735248
SPT(14)	281251652611963729	0 40 108 138 154 174 178 234 238 258 274 304 372 412	23798415828