Prime p₀= 3034509482859893021 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 6 20 28 6 50 6 58 6 50 6 28 20 6 36 (?)
a_n: 0 36 42 62 90 96 146 152 210 216 266 272 300 320 326 362
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: 362
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 36 6 20 28 6 50 6 58

SPT(16)	3034507044220846639	0 22 70 78 100 144 154 162 190 198 208 252 274 282 330 352	-2438639046382
SPT(16)	3034507504578922061	0 126 156 170 188 210 216 270 326 380 386 408 426 440 470 596	-1978280970960
SPT(16)	3034507515772500709	0 18 22 84 102 172 174 190 222 238 240 310 328 390 394 412	-1967087392312
SPT(16)	3034507674846775747	0 16 42 60 76 90 124 142 144 162 196 210 226 244 270 286	-1808013117274
STPT(10)	3034507747717264961	0 2 6 8 18 20 30 32 36 38	-1735142628060
TPT(14)	3034508077906890251	0 2 18 20 36 38 60 62 78 80 120 122 168 170	-1404953002770
STPT(10)	3034509560966855999	0 2 18 20 30 32 42 44 60 62	78106962978
STPT(10)	3034510045560592481	0 2 36 38 78 80 120 122 156 158	562700699460
STPT(10)	3034510259403240557	0 2 30 32 60 62 90 92 120 122	776543347536
STPT(10)	3034510361938722851	0 2 30 32 60 62 90 92 120 122	879078829830
SPT(13)	3034510362971816213	0 6 30 60 66 90 150 210 234 240 270 294 300	880111923192