Prime p₀= 2448021667199568323 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 2 4 6 42 60 26 16 26 60 42 6 4 2 24 (?)
a_n: 0 24 26 30 36 78 138 164 180 206 266 308 314 318 320 344
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: 344
Found by: JayPi
db: batch=82, k=16, 24 2 4 6 42 60 26 16

SPT(16)	2448019827653148173	0 36 66 68 74 80 120 138 146 164 204 210 216 218 248 284	-1839546420150
SPT(16)	2448020103655895939	0 14 48 80 102 132 144 162 170 188 200 230 252 284 318 332	-1563543672384
SPT(16)	2448020323246370381	0 12 26 56 80 98 110 116 132 138 150 168 192 222 236 248	-1343953197942
SPT(16)	2448020426931427681	0 6 48 58 60 120 130 160 168 198 208 268 270 280 322 328	-1240268140642
STPT(10)	2448020462978114501	0 2 36 38 78 80 120 122 156 158	-1204221453822
SPT(16)	2448021258731161697	0 44 84 90 146 176 182 224 282 324 330 360 416 422 462 506	-408468406626
STPT(10)	2448021869460290327	0 2 12 14 42 44 72 74 84 86	202260722004
STPT(10)	2448021931017035297	0 2 12 14 42 44 72 74 84 86	263817466974
STPT(10)	2448021943900266707	0 2 30 32 42 44 54 56 84 86	276700698384
SPT(16)	2448022352269438871	0 20 42 50 68 80 132 146 252 266 318 330 348 356 378 398	685069870548
STPT(10)	2448022704741990161	0 2 30 32 60 62 90 92 120 122	1037542421838