Prime p₀= 3006524552215363481 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 32 6 4 24 26 6 24 34 24 6 26 24 4 6 32 (?)
a_n: 0 32 38 42 66 92 98 122 156 180 186 212 236 240 246 278
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: 278
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 32 6 4 24 26 6 24 34

SPT(16)	3006523544145862649	0 44 102 104 110 122 182 314 360 492 552 564 570 572 630 674	-1008069500832
SPT(16)	3006523560305386403	0 18 20 44 116 156 168 170 174 176 188 228 300 324 326 344	-991909977078
STPT(10)	3006523560678042701	0 2 6 8 18 20 30 32 36 38	-991537320780
SPT(16)	3006524044082386717	0 16 36 54 94 154 172 180 196 204 222 282 322 340 360 376	-508132976764
SPT(16)	3006524305992774403	0 4 40 46 88 96 100 118 126 144 148 156 198 204 240 244	-246222589078
STPT(10)	3006524455484774069	0 2 18 20 30 32 42 44 60 62	-96730589412
STPT(10)	3006524588196101207	0 2 42 44 72 74 102 104 144 146	35980737726
STPT(10)	3006524612013408257	0 2 30 32 72 74 114 116 144 146	59798044776
STPT(10)	3006524668208180759	0 2 48 50 90 92 132 134 180 182	115992817278
SPT(16)	3006524703387928381	0 22 52 70 72 112 162 178 240 256 306 346 348 366 396 418	151172564900
SPT(16)	3006524870218910959	0 58 64 78 130 132 168 174 268 274 310 312 364 378 384 442	318003547478