Prime p₀= 2377846759537972531 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 36 6 24 60 24 12 22 12 24 60 24 6 36 6 (?)
a_n: 0 6 42 48 72 132 156 168 190 202 226 286 310 316 352 358
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: 358
Found by: Landjunge
db: batch=81, k=16, 6 36 6 24 60 24 12 22

SPT(16)	2377844739690663557	0 14 80 84 116 186 200 222 254 276 290 360 392 396 462 476	-2019847308974
STPT(10)	2377845200587611509	0 2 18 20 30 32 42 44 60 62	-1558950361022
SPT(16)	2377845636544570303	0 88 118 124 130 156 166 180 244 258 268 294 300 306 336 424	-1122993402228
SPT(16)	2377845877109044207	0 10 24 64 76 90 132 136 150 154 196 210 222 262 276 286	-882428928324
SPT(16)	2377845881800955737	0 6 30 64 66 84 90 106 120 136 142 160 162 196 220 226	-877737016794
SPT(16)	2377846447529583739	0 30 34 118 132 184 190 198 244 252 258 310 324 408 412 442	-312008388792
SPT(16)	2377846820326058699	0 2 60 72 92 122 224 282 302 360 462 492 512 524 582 584	60788086168
STPT(10)	2377847417876978141	0 2 6 8 48 50 90 92 96 98	658339005610
STPT(10)	2377847536934755181	0 2 6 8 18 20 30 32 36 38	777396782650
SPT(16)	2377847568083047871	0 26 32 56 90 186 188 200 348 360 362 458 492 516 522 548	808545075340
SPT(16)	2377847786694980819	0 42 92 168 218 230 242 252 290 300 312 324 374 450 500 542	1027157008288