Prime p₀= 404886938213154701 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 6 8 70 30 12 44 12 30 70 8 6 6 (?)
a_n: 0 6 12 20 90 120 132 176 188 218 288 296 302 308
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: Cruncher Pete
db: batch=70, k=14, 6 6 8 70 30 12 44

TPT(12)	404886884635775027	0 2 12 14 24 26 132 134 204 206 222 224	-53577379674
SPT(14)	404886887505371599	0 12 40 60 142 160 168 172 180 198 280 300 328 340	-50707783102
SPT(14)	404886905609470129	0 28 42 48 70 72 94 108 130 132 154 160 174 202	-32603684572
SPT(14)	404886912925245169	0 34 42 90 100 112 172 282 342 354 364 412 420 454	-25287909532
SPT(14)	404886917509253357	0 72 92 110 120 122 162 182 222 224 234 252 272 344	-20703901344
SPT(14)	404886926109368609	0 18 54 90 110 132 162 200 230 252 272 308 344 362	-12103786092
TPT(12)	404886951969657761	0 2 90 92 126 128 156 158 216 218 240 242	13756503060
TPT(12)	404886971139641909	0 2 18 20 42 44 72 74 78 80 90 92	32926487208
SPT(14)	404886982903352041	0 66 96 108 130 162 166 192 196 228 250 262 292 358	44690197340
SPT(14)	404886993689278439	0 8 30 54 78 120 128 180 188 230 254 278 300 308	55476123738
SPT(14)	404887026898778321	0 8 56 78 122 126 146 192 212 216 260 282 330 338	88685623620