Prime p₀= 4069436415841076209 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 90 40 44 10 14 4 20 6 24 12 34 12 24 6 20 4 14 10 44 40 90 (?)
a_n: 0 90 130 174 184 198 202 222 228 252 264 298 310 334 340 360 364 378 388 432 472 562
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: 562
Found by: [SG-2W]Kurzer
db: batch=84, k=22, 90 40 44 10 14 4 20 6 24 12 34

STPT(10)	4069434153510103517	0 2 12 14 42 44 72 74 84 86	-2262330972692
STPT(10)	4069435024439913179	0 2 18 20 30 32 42 44 60 62	-1391401163030
TPT(14)	4069435573060239839	0 2 42 44 78 80 120 122 228 230 270 272 288 290	-842780836370
SPT(16)	4069435629857586487	0 66 126 130 136 160 174 186 220 232 246 270 276 280 340 406	-785983489722
SPT(16)	4069436035647283859	0 68 74 152 164 182 210 242 270 302 330 348 360 438 444 512	-380193792350
STPT(10)	4069436106690144899	0 2 42 44 60 62 78 80 120 122	-309150931310
SPT(16)	4069436566545856579	0 10 34 52 84 118 150 222 280 352 384 418 450 468 492 502	150704780370
SPT(16)	4069436736844958147	0 14 26 36 56 96 104 152 204 252 260 300 320 330 342 356	321003881938
SPT(16)	4069437215860763413	0 18 60 78 84 156 168 210 304 346 358 430 436 454 496 514	800019687204
SPT(16)	4069437463569193921	0 76 130 186 190 192 210 220 228 238 256 258 262 318 372 448	1047728117712
SPT(16)	4069437561947278643	0 14 66 96 134 146 156 170 174 188 198 210 248 278 330 344	1146106202434