Prime p₀= 800575232710892407 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 82 30 2 12 30 30 6 22 6 30 30 12 2 30 82 (?)
a_n: 0 82 112 114 126 156 186 192 214 220 250 280 292 294 324 406
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: 406
Found by: schoussi
db: batch=73, k=16, 82 30 2 12 30 30 6 22

SPT(16)	800572469544331823	0 20 56 78 80 96 150 170 216 236 290 306 308 330 366 386	-2763166560584
STPT(10)	800573005486052999	0 2 12 14 90 92 168 170 180 182	-2227224839408
SPT(16)	800573233692312469	0 42 48 82 88 130 142 160 180 198 210 252 258 292 298 340	-1999018579938
STPT(10)	800573405732463287	0 2 12 14 42 44 72 74 84 86	-1826978429120
STPT(10)	800574666248432639	0 2 48 50 90 92 132 134 180 182	-566462459768
SPT(16)	800575126655536367	0 2 62 66 114 156 170 182 384 396 410 452 500 504 564 566	-106055356040
SPT(16)	800575282926904519	0 12 30 60 82 88 102 112 168 178 192 198 220 250 268 280	50216012112
SPT(16)	800576003210742793	0 28 30 48 66 100 138 178 198 238 276 310 328 346 348 376	770499850386
STPT(10)	800576292117012137	0 2 24 26 42 44 60 62 84 86	1059406119730
SPT(16)	800576367003054493	0 10 48 70 78 90 124 148 150 174 208 220 228 250 288 298	1134292162086
STPT(10)	800576406857485541	0 2 6 8 48 50 90 92 96 98	1174146593134