Prime p₀= 4092749068762905503 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 44 10 30 30 26 4 68 4 26 30 30 10 44 24 (?)
a_n: 0 24 68 78 108 138 164 168 236 240 266 296 326 336 380 404
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: 404
Found by: [AF>WildWildWest]Sebastien
db: batch=84, k=16, 24 44 10 30 30 26 4 68

SPT(16)	4092748132917915091	0 36 60 70 78 88 96 136 162 202 210 220 228 238 262 298	-935844990412
SPT(16)	4092748198555078831	0 28 70 72 82 90 118 130 138 150 178 186 196 198 240 268	-870207826672
SPT(16)	4092748302013237487	0 14 54 60 66 84 134 150 176 192 242 260 266 272 312 326	-766749668016
SPT(16)	4092748590398184677	0 6 42 72 80 86 90 102 104 116 120 126 134 164 200 206	-478364720826
STPT(10)	4092748837509283277	0 2 42 44 72 74 102 104 144 146	-231253622226
SPT(16)	4092749031153205109	0 24 44 84 108 114 134 144 308 318 338 344 368 408 428 452	-37609700394
SPT(16)	4092749191089948031	0 88 102 108 166 196 222 238 240 256 282 312 370 376 390 478	122327042528
TPT(14)	4092749313959631317	0 2 12 14 24 26 54 56 102 104 114 116 192 194	245196725814
STPT(10)	4092749601097795607	0 2 30 32 72 74 114 116 144 146	532334890104
SPT(16)	4092749707932653983	0 10 36 48 64 150 186 208 216 238 274 360 376 388 414 424	639169748480
SPT(16)	4092749789081393213	0 30 96 98 134 140 180 204 230 254 294 300 336 338 404 434	720318487710