Prime p₀= 545945252220280691 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 20 12 6 4 68 112 68 4 6 12 20 18 (?)
a_n: 0 18 38 50 56 60 128 240 308 312 318 330 350 368
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: 368
Found by: scrap
db: batch=71, k=14, 18 20 12 6 4 68 112

SPT(14)	545945185857234259	0 12 24 42 54 78 84 88 94 118 130 148 160 172	-66363046432
SPT(14)	545945198312814659	0 2 50 72 78 98 108 134 144 164 170 192 240 242	-53907466032
SPT(14)	545945207310225859	0 12 24 78 90 108 138 204 234 252 264 318 330 342	-44910054832
SPT(16)	545945219335420559	0 20 54 68 180 182 198 260 432 494 510 512 624 638 672 692	-32884860132
SPT(16)	545945236447891619	0 14 50 110 138 140 180 188 204 212 252 254 282 342 378 392	-15772389072
SPT(14)	545945244399518437	0 6 34 52 66 82 90 166 174 190 204 222 250 256	-7820762254
SPT(14)	545945258117276317	0 46 70 82 102 112 126 130 144 154 174 186 210 256	5896995626
TPT(12)	545945264185926401	0 2 18 20 30 32 66 68 168 170 186 188	11965645710
SPT(14)	545945268141847757	0 30 42 66 120 150 156 170 176 206 260 284 296 326	15921567066
SPT(14)	545945289537572189	0 12 42 72 80 140 158 222 240 300 308 338 368 380	37317291498
SPT(14)	545945295920195539	0 30 58 70 162 172 198 202 228 238 330 342 370 400	43699914848