Prime p₀= 3006524870218910959 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 6 14 52 2 36 6 94 6 36 2 52 14 6 58 (?)
a_n: 0 58 64 78 130 132 168 174 268 274 310 312 364 378 384 442
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: 442
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 58 6 14 52 2 36 6 94

STPT(10)	3006524455484774069	0 2 18 20 30 32 42 44 60 62	-414734136890
SPT(16)	3006524552215363481	0 32 38 42 66 92 98 122 156 180 186 212 236 240 246 278	-318003547478
STPT(10)	3006524588196101207	0 2 42 44 72 74 102 104 144 146	-282022809752
STPT(10)	3006524612013408257	0 2 30 32 72 74 114 116 144 146	-258205502702
STPT(10)	3006524668208180759	0 2 48 50 90 92 132 134 180 182	-202010730200
SPT(16)	3006524703387928381	0 22 52 70 72 112 162 178 240 256 306 346 348 366 396 418	-166830982578
STPT(10)	3006525016218507149	0 2 42 44 60 62 78 80 120 122	145999596190
SPT(16)	3006525098175689023	0 6 48 76 84 94 136 160 174 198 240 250 258 286 328 334	227956778064
SPT(16)	3006525301715385277	0 10 34 64 70 76 90 114 196 220 234 240 246 276 300 310	431496474318
SPT(16)	3006526329722675537	0 32 96 120 140 144 150 192 254 296 302 306 326 350 414 446	1459503764578
SPT(16)	3006526480336767497	0 14 92 102 114 120 134 140 156 162 176 182 194 204 282 296	1610117856538