Prime p₀= 822624800680084081 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 44 24 28 18 24 8 22 8 24 18 28 24 44 52 (?)
a_n: 0 52 96 120 148 166 190 198 220 228 252 270 298 322 366 418
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: 418
Found by: GLeeM
db: batch=73, k=16, 52 44 24 28 18 24 8 22

SPT(16)	822623593034881037	0 2 14 50 66 80 96 114 122 140 156 170 186 222 234 236	-1207645203044
STPT(10)	822623661269315987	0 2 42 44 72 74 102 104 144 146	-1139410768094
STPT(12)	822623769354368549	0 2 12 14 162 164 168 170 318 320 330 332	-1031325715532
SPT(16)	822624182597066351	0 50 60 140 150 168 188 206 270 288 308 326 336 416 426 476	-618083017730
SPT(16)	822624339733556417	0 72 74 92 110 114 116 120 176 180 182 186 204 222 224 296	-460946527664
STPT(10)	822624389142385787	0 2 12 14 42 44 72 74 84 86	-411537698294
SPT(16)	822624933781059347	0 26 72 96 116 120 162 180 182 200 242 246 266 290 336 362	133100975266
SPT(16)	822625364311925021	0 42 60 80 86 96 138 152 156 170 212 222 228 248 266 308	563631840940
STPT(12)	822625589897600429	0 2 12 14 42 44 48 50 78 80 90 92	789217516348
STPT(10)	822626074672682219	0 2 18 20 30 32 42 44 60 62	1273992598138
SPT(16)	822626491972156549	0 12 142 198 222 238 250 252 340 342 354 370 394 450 580 592	1691292072468