Prime p₀= 262503770154779891 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 98 22 44 6 6 22 6 6 44 22 98 12 (?)
a_n: 0 12 110 132 176 182 188 210 216 222 266 288 386 398
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: 398
Found by: Paul
db: batch=69, k=14, 12 98 22 44 6 6 22

SPT(16)	262503697082771713	0 34 46 60 66 76 90 156 214 280 294 304 310 324 336 370	-73072008178
SPT(14)	262503708865684109	0 32 54 80 98 120 134 168 182 204 222 248 270 302	-61289095782
SPT(14)	262503736479746549	0 12 50 60 78 110 132 140 162 194 212 222 260 272	-33675033342
SPT(14)	262503741600847463	0 104 110 138 140 150 156 248 254 264 266 294 300 404	-28553932428
TPT(12)	262503744676881311	0 2 30 32 48 50 90 92 270 272 288 290	-25477898580
SPT(14)	262503750785212399	0 30 40 58 82 112 130 150 168 198 222 240 250 280	-19369567492
TPT(12)	262503781500693917	0 2 30 32 84 86 114 116 162 164 174 176	11345914026
SPT(14)	262503788988191483	0 14 36 68 74 98 176 228 306 330 336 368 390 404	18833411592
SPT(14)	262503790121831383	0 10 16 24 30 66 90 220 244 280 286 294 300 310	19967051492
SPT(14)	262503800038653983	0 36 68 78 84 116 134 150 168 200 206 216 248 284	29883874092
SPT(16)	262503827940416701	0 42 78 90 108 132 246 276 312 342 456 480 498 510 546 588	57785636810