Prime p₀= 3306993180232794607 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 72 8 12 4 6 26 22 26 6 4 12 8 72 34 (?)
a_n: 0 34 106 114 126 130 136 162 184 210 216 220 232 240 312 346
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: 346
Found by: Penguin
db: batch=83, k=16, 34 72 8 12 4 6 26 22

SPT(16)	3306992328128813087	0 14 26 60 74 122 152 180 206 234 264 312 326 360 372 386	-852103981520
TPT(14)	3306992469508408517	0 2 72 74 144 146 180 182 300 302 354 356 390 392	-710724386090
SPT(16)	3306992556516114461	0 2 20 32 66 80 108 116 132 140 168 182 216 228 246 248	-623716680146
SPT(22)	3306992642612944763	0 14 44 66 84 86 134 188 200 218 228 356 366 384 396 450 498 500 518 540 570 584	-537619849844
STPT(10)	3306993013610497061	0 2 138 140 168 170 198 200 336 338	-166622297546
STPT(10)	3306993154627672127	0 2 90 92 102 104 114 116 204 206	-25605122480
STPT(10)	3306993376744517261	0 2 6 8 48 50 90 92 96 98	196511722654
STPT(10)	3306993627527003171	0 2 6 8 18 20 30 32 36 38	447294208564
SPT(16)	3306993682049651959	0 18 28 54 70 78 100 138 154 192 214 222 238 264 274 292	501816857352
SPT(16)	3306993805964659831	0 18 48 72 82 100 126 132 166 172 198 216 226 250 280 298	625731865224
SPT(16)	3306994296345513047	0 32 92 102 140 150 164 206 240 282 296 306 344 354 414 446	1116112718440