Prime p₀= 2303357436162668497 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 12 2 10 90 8 22 8 22 8 90 10 2 12 10 (?)
a_n: 0 10 22 24 34 124 132 154 162 184 192 282 292 294 306 316
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: 316
Found by: Landjunge
db: batch=81, k=16, 10 12 2 10 90 8 22 8

SPT(16)	2303356546285291547	0 30 56 84 114 140 164 204 206 246 270 296 326 354 380 410	-889877376950
STPT(10)	2303356853481646379	0 2 18 20 30 32 42 44 60 62	-582681022118
SPT(16)	2303356961019432973	0 4 48 54 64 84 88 90 118 120 124 144 154 160 204 208	-475143235524
STPT(10)	2303357105798933879	0 2 30 32 60 62 90 92 120 122	-330363734618
SPT(16)	2303357162178684253	0 10 24 28 36 48 78 168 196 286 316 328 336 340 354 364	-273983984244
STPT(10)	2303357372332820891	0 2 6 8 48 50 90 92 96 98	-63829847606
SPT(16)	2303357498017983059	0 2 8 92 104 120 144 164 168 188 212 228 240 324 330 332	61855314562
SPT(16)	2303357602685893813	0 28 54 76 108 184 196 210 274 288 300 376 408 430 456 484	166523225316
STPT(10)	2303358235701733121	0 2 6 8 18 20 30 32 36 38	799539064624
SPT(16)	2303358574853031607	0 16 30 64 112 150 156 162 274 280 286 324 372 406 420 436	1138690363110
SPT(16)	2303358691346419697	0 12 42 56 90 110 170 182 210 222 282 302 336 350 380 392	1255183751200