Prime p₀= 563312611661424607 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 20 78 36 40 6 8 22 8 6 40 36 78 20 22 (?)
a_n: 0 22 42 120 156 196 202 210 232 240 246 286 322 400 420 442
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 442
Found by: vaughan
db: batch=57, k=16, 22 20 78 36 40 6 8 22

TPT(12)	563312506068429881	0 2 30 32 36 38 96 98 108 110 156 158	-105592994726
SPT(14)	563312563804935397	0 22 34 40 70 84 120 136 172 186 216 222 234 256	-47856489210
SPT(14)	563312569311580453	0 10 16 28 66 96 106 198 208 238 276 288 294 304	-42349844154
SPT(14)	563312581054127449	0 42 48 72 100 138 150 160 172 210 238 262 268 310	-30607297158
SPT(14)	563312581868363797	0 12 64 70 94 96 150 166 220 222 246 252 304 316	-29793060810
SPT(14)	563312599844263487	0 44 66 84 86 140 210 290 360 414 416 434 456 500	-11817161120
SPT(16)	563312635075922803	0 24 58 66 78 88 100 106 108 114 126 136 148 156 190 214	23414498196
SPT(14)	563312646504102349	0 4 72 100 112 138 142 150 154 180 192 220 288 292	34842677742
SPT(14)	563312648740501999	0 28 30 34 40 78 100 138 160 198 204 208 210 238	37079077392
SPT(14)	563312668062682009	0 24 42 108 112 160 168 184 192 240 244 310 328 352	56401257402
SPT(14)	563312668315064117	0 2 24 30 114 126 132 164 170 182 266 272 294 296	56653639510