Prime p₀= 2341083823803521989 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 80 22 38 28 14 4 26 4 14 28 38 22 80 52 (?)
a_n: 0 52 132 154 192 220 234 238 264 268 282 310 348 370 450 502
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: 502
Found by: Drago75
db: batch=81, k=16, 52 80 22 38 28 14 4 26

SPT(16)	2341082974199388539	0 30 50 68 80 138 162 164 168 170 194 252 264 282 302 332	-849604133450
SPT(16)	2341083153671032129	0 10 22 24 42 52 64 84 130 150 162 172 190 192 204 214	-670132489860
SPT(16)	2341083244401873997	0 22 76 90 126 132 172 186 226 240 280 286 322 336 390 412	-579401647992
STPT(10)	2341083340055693411	0 2 6 8 48 50 90 92 96 98	-483747828578
SPT(16)	2341083690751611217	0 46 66 90 102 112 114 130 156 172 174 184 196 220 240 286	-133051910772
STPT(10)	2341083791482119107	0 2 54 56 72 74 90 92 144 146	-32321402882
TPT(14)	2341083910605839897	0 2 12 14 42 44 54 56 84 86 114 116 192 194	86802317908
SPT(16)	2341084449587916859	0 12 82 102 114 120 138 142 210 214 232 238 250 270 340 352	625784394870
TPT(14)	2341084726754283401	0 2 48 50 66 68 90 92 168 170 288 290 390 392	902950761412
STPT(10)	2341084839478391471	0 2 90 92 108 110 126 128 216 218	1015674869482
SPT(16)	2341084992033030857	0 20 42 74 126 132 164 246 290 372 404 410 462 494 516 536	1168229508868