Prime p₀= 125109671355068171 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 48 8 6 10 8 46 36 14 36 46 8 10 6 8 48 (?)
a_n: 0 48 56 62 72 80 126 162 176 212 258 266 276 282 290 338
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: 338
Found by: Egon olsen
db: batch=67, k=16, 48 8 6 10 8 46 36 14

SPT(14)	125109638476035289	0 10 18 72 82 88 102 208 222 228 238 292 300 310	-32879032882
SPT(14)	125109653831994631	0 22 42 78 88 108 112 126 130 150 160 196 216 238	-17523073540
TPT(12)	125109655888319957	0 2 30 32 72 74 84 86 150 152 162 164	-15466748214
SPT(14)	125109656470674229	0 18 34 48 58 70 100 102 132 144 154 168 184 202	-14884393942
STPT(10)	125109661804567409	0 2 12 14 30 32 48 50 60 62	-9550500762
STPT(10)	125109664258435061	0 2 6 8 18 20 30 32 36 38	-7096633110
SPT(14)	125109677649731231	0 6 32 56 66 72 90 98 116 122 132 156 182 188	6294663060
SPT(14)	125109684108747937	0 34 40 60 76 82 100 156 174 180 196 216 222 256	12753679766
TPT(12)	125109705415801619	0 2 60 62 198 200 240 242 270 272 282 284	34060733448
SPT(14)	125109717615306187	0 4 12 30 64 66 82 84 100 102 136 154 162 166	46260238016
SPT(14)	125109731630985137	0 2 26 32 66 72 80 102 110 116 150 156 180 182	60275916966