Prime p₀= 2342606210447467127 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 42 18 110 12 4 38 22 8 30 58 30 8 22 38 4 12 110 18 42 (?)
a_n: 0 42 60 170 182 186 224 246 254 284 342 372 380 402 440 444 456 566 584 626
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 626
Found by: Landjunge
db: batch=81, k=20, 42 18 110 12 4 38 22 8 30 58

SPT(13)	2342605465334296609	0 108 144 150 210 228 234 240 258 318 324 360 468	-745113170518
SPT(16)	2342605667870021053	0 76 78 84 90 108 118 174 220 276 286 304 310 316 318 394	-542577446074
STPT(10)	2342605798068616679	0 2 18 20 30 32 42 44 60 62	-412378850448
TPT(14)	2342605803906473921	0 2 6 8 30 32 126 128 180 182 210 212 228 230	-406540993206
TPT(14)	2342605865316376277	0 2 72 74 144 146 210 212 324 326 384 386 534 536	-345131090850
SPT(16)	2342606180174088529	0 28 30 88 130 240 252 264 268 280 292 402 444 502 504 532	-30273378598
SPT(16)	2342606569828499839	0 12 30 88 208 210 238 270 352 384 412 414 534 592 610 622	359381032712
SPT(16)	2342606598114016981	0 28 40 60 70 88 138 192 196 250 300 318 328 348 360 388	387666549854
SPT(16)	2342606641134108143	0 14 44 68 78 120 174 216 218 260 314 356 366 390 420 434	430686641016
SPT(16)	2342606811022463473	0 54 60 76 88 126 160 166 168 174 208 246 258 274 280 334	600574996346
SPT(16)	2342606898249687673	0 18 64 66 70 114 120 136 168 184 190 234 238 240 286 304	687802220546