Prime p₀= 3006523544145862649 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 58 2 6 12 60 132 46 132 60 12 6 2 58 44 (?)
a_n: 0 44 102 104 110 122 182 314 360 492 552 564 570 572 630 674
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: 674
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 44 58 2 6 12 60 132 46

STPT(10)	3006522698927446199	0 2 42 44 90 92 138 140 180 182	-845218416450
STPT(10)	3006523139894988269	0 2 48 50 90 92 132 134 180 182	-404250874380
SPT(16)	3006523185660225677	0 12 14 56 62 96 140 146 210 216 260 294 300 342 344 356	-358485636972
SPT(16)	3006523484351038471	0 22 28 36 66 100 136 150 238 252 288 322 352 360 366 388	-59794824178
STPT(10)	3006523499506414211	0 2 30 32 78 80 126 128 156 158	-44639448438
STPT(10)	3006523506015892727	0 2 42 44 72 74 102 104 144 146	-38129969922
SPT(16)	3006523560305386403	0 18 20 44 116 156 168 170 174 176 188 228 300 324 326 344	16159523754
STPT(10)	3006523560678042701	0 2 6 8 18 20 30 32 36 38	16532180052
SPT(16)	3006524044082386717	0 16 36 54 94 154 172 180 196 204 222 282 322 340 360 376	499936524068
SPT(16)	3006524305992774403	0 4 40 46 88 96 100 118 126 144 148 156 198 204 240 244	761846911754
STPT(10)	3006524455484774069	0 2 18 20 30 32 42 44 60 62	911338911420