Prime p₀= 2114338353883240607 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 36 58 8 52 6 42 2 42 6 52 8 58 36 20 (?)
a_n: 0 20 56 114 122 174 180 222 224 266 272 324 332 390 426 446
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: 446
Found by: Landjunge
db: batch=80, k=16, 20 36 58 8 52 6 42 2

SPT(16)	2114337036537098509	0 34 52 120 148 154 160 162 250 252 258 264 292 360 378 412	-1317346142098
STPT(10)	2114337058583154071	0 2 6 8 18 20 30 32 36 38	-1295300086536
SPT(16)	2114337743447415149	0 44 48 54 60 68 108 174 248 314 354 362 368 374 378 422	-610435825458
SPT(16)	2114337792079088747	0 26 36 44 54 90 92 132 134 174 176 212 222 230 240 266	-561804151860
SPT(16)	2114338160118031681	0 18 22 28 42 72 78 100 168 190 196 226 240 246 250 268	-193765208926
SPT(16)	2114338257661014689	0 30 44 50 68 72 80 122 210 252 260 264 282 288 302 332	-96222225918
STPT(10)	2114338560881590247	0 2 12 14 42 44 72 74 84 86	206998349640
SPT(18)	2114339914929366793	0 36 70 78 84 88 144 148 154 180 186 190 246 250 256 264 298 334	1561046126186
SPT(16)	2114340343293841423	0 28 34 78 90 96 154 210 244 300 358 364 376 420 426 454	1989410600816
SPT(16)	2114340853660581857	0 24 36 90 104 132 152 176 180 204 224 252 266 320 332 356	2499777341250
SPT(16)	2114341152783119971	0 6 18 36 40 96 138 156 172 190 232 288 292 310 322 328	2798899879364