Prime p₀= 2827080924853757123 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 8 10 2 4 50 108 28 108 50 4 2 10 8 6 (?)
a_n: 0 6 14 24 26 30 80 188 216 324 374 378 380 390 398 404
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: 404
Found by: JayPi
db: batch=82, k=16, 6 8 10 2 4 50 108 28

SPT(16)	2827078938042900997	0 54 66 126 150 156 166 172 234 240 250 256 280 340 352 406	-1986810856126
STPT(10)	2827079106512848181	0 2 36 38 78 80 120 122 156 158	-1818340908942
SPT(16)	2827079902802854093	0 48 70 94 114 150 154 160 198 204 208 244 264 288 310 358	-1022050903030
SPT(16)	2827080373654760291	0 38 48 56 68 138 162 182 186 206 230 300 312 320 330 368	-551198996832
STPT(10)	2827080434135608829	0 2 12 14 90 92 168 170 180 182	-490718148294
STPT(10)	2827080825974177951	0 2 6 8 48 50 90 92 96 98	-98879579172
SPT(16)	2827081763584235713	0 78 118 138 160 190 210 238 288 316 336 366 388 408 448 526	838730478590
SPT(16)	2827082363761075729	0 12 40 72 112 114 124 144 190 210 220 222 262 294 322 334	1438907318606
STPT(10)	2827082645210658299	0 2 12 14 90 92 168 170 180 182	1720356901176
SPT(16)	2827082737272421223	0 30 126 150 276 278 290 330 536 576 588 590 716 740 836 866	1812418664100
STPT(10)	2827082868786866927	0 2 12 14 42 44 72 74 84 86	1943933109804