Prime p₀= 4643820406163331623 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 6 54 50 18 52 14 4 38 4 74 46 74 4 38 4 14 52 18 50 54 6 (?)
a_n: 0 6 60 110 128 180 194 198 236 240 314 360 434 438 476 480 494 546 564 614 668 674
All 22 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 674
Found by: [SG-2W]Kurzer
db: batch=85, k=22, 6 54 50 18 52 14 4 38 4 74 46

SPT(16)	4643818693752381049	0 34 82 102 114 180 184 202 210 228 232 298 310 330 378 412	-1712410950574
SPT(16)	4643818939284191071	0 42 48 72 118 166 186 216 262 292 312 360 406 430 436 478	-1466879140552
SPT(16)	4643819625904879499	0 18 24 32 74 78 134 144 248 258 314 318 360 368 374 392	-780258452124
STPT(10)	4643819773377452951	0 2 6 8 48 50 90 92 96 98	-632785878672
SPT(16)	4643820322652925233	0 84 86 110 144 164 176 234 296 354 366 386 420 444 446 530	-83510406390
SPT(16)	4643820337503108557	0 60 96 102 126 134 174 222 224 272 312 320 344 350 386 446	-68660223066
SPT(16)	4643820481865201869	0 12 24 42 58 78 88 94 198 204 214 234 250 268 280 292	75701870246
STPT(10)	4643820563231681729	0 2 18 20 30 32 42 44 60 62	157068350106
SPT(16)	4643820674678348201	0 12 20 56 90 122 146 150 152 156 180 212 246 282 290 302	268515016578
SPT(16)	4643821374979893863	0 8 14 26 30 60 116 126 128 138 194 224 228 240 246 254	968816562240
TPT(14)	4643821493026121969	0 2 12 14 138 140 222 224 252 254 258 260 318 320	1086862790346