Prime p₀= 3008851341059804381 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 46 36 2 66 30 6 34 6 30 66 2 36 46 26 (?)
a_n: 0 26 72 108 110 176 206 212 246 252 282 348 350 386 432 458
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: 458
Found by: Orange Kid
db: batch=82, k=16, 26 46 36 2 66 30 6 34

SPT(16)	3008849058878823467	0 2 30 54 80 90 104 110 126 132 146 156 182 206 234 236	-2282180980914
SPT(16)	3008849109943500739	0 18 42 54 88 94 108 160 192 244 258 264 298 310 334 352	-2231116303642
STPT(10)	3008849210991745109	0 2 18 20 30 32 42 44 60 62	-2130068059272
SPT(16)	3008849348869407599	0 20 98 138 152 162 174 188 204 218 230 240 254 294 372 392	-1992190396782
STPT(10)	3008850351569080589	0 2 18 20 30 32 42 44 60 62	-989490723792
STPT(10)	3008850984405508367	0 2 30 32 72 74 114 116 144 146	-356654296014
SPT(16)	3008851528557009557	0 6 36 104 140 156 200 204 296 300 344 360 396 464 494 500	187497205176
SPT(16)	3008851611139468481	0 8 50 92 98 116 122 150 158 186 192 210 216 258 300 308	270079664100
STPT(10)	3008852184962497631	0 2 90 92 168 170 246 248 336 338	843902693250
SPT(16)	3008852491739718461	0 18 48 56 66 78 120 122 186 188 230 242 252 260 290 308	1150679914080
STPT(10)	3008852695748431199	0 2 48 50 90 92 132 134 180 182	1354688626818