Prime p₀= 2029123407189596573 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 14 4 26 106 14 4 36 30 6 14 6 30 36 4 14 106 26 4 14 (?)
a_n: 0 14 18 44 150 164 168 204 234 240 254 260 290 326 330 344 450 476 480 494
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: 494
Found by: Landjunge
db: batch=80, k=20, 14 4 26 106 14 4 36 30 6 14

SPT(16)	2029122792619553731	0 60 126 132 156 162 168 172 216 220 226 232 256 262 328 388	-614570042842
SPT(16)	2029122813800662589	0 8 14 38 44 50 72 92 150 170 192 198 204 228 234 242	-593388933984
STPT(10)	2029122859772734511	0 2 36 38 78 80 120 122 156 158	-547416862062
SPT(16)	2029123023340625941	0 16 18 36 78 106 126 210 226 310 330 358 400 418 420 436	-383848970632
SPT(16)	2029123221175136717	0 2 30 50 72 92 182 200 204 222 312 332 354 374 402 404	-186014459856
STPT(10)	2029123362077366309	0 2 18 20 30 32 42 44 60 62	-45112230264
SPT(16)	2029123605436105979	0 42 78 92 120 162 180 194 198 212 230 272 300 314 350 392	198246509406
SPT(16)	2029123870804398419	0 32 60 104 134 150 162 182 210 230 242 258 288 332 360 392	463614801846
STPT(12)	2029124053912330799	0 2 12 14 90 92 132 134 210 212 222 224	646722734226
SPT(16)	2029124388020575801	0 40 60 90 102 106 190 196 222 228 312 316 328 358 378 418	980830979228
STPT(10)	2029124466202259339	0 2 42 44 90 92 138 140 180 182	1059012662766