Prime p₀= 4547141855006607569 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 42 32 28 12 26 4 26 12 6 4 38 4 6 12 26 4 26 12 28 32 42 (?)
a_n: 0 42 74 102 114 140 144 170 182 188 192 230 234 240 252 278 282 308 320 348 380 422
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: 422
Found by: [SG-2W]Kurzer
db: batch=85, k=22, 42 32 28 12 26 4 26 12 6 4 38

SPT(18)	4547140236749792719	0 24 34 60 90 94 112 144 198 214 268 300 318 322 352 378 388 412	-1618256814850
SPT(16)	4547140787130134513	0 24 36 38 68 74 104 108 176 180 210 216 246 248 260 284	-1067876473056
STPT(10)	4547140884683892161	0 2 6 8 18 20 30 32 36 38	-970322715408
SPT(18)	4547140942038496913	0 20 24 30 74 86 146 156 180 200 224 234 294 306 350 356 360 380	-912968110656
SPT(16)	4547141199426078907	0 12 16 24 52 54 70 82 84 96 112 114 142 150 154 166	-655580528662
SPT(16)	4547141513795725043	0 30 84 96 104 134 156 174 260 278 300 330 338 350 404 434	-341210882526
STPT(10)	4547142020306672921	0 2 36 38 78 80 120 122 156 158	165300065352
STPT(10)	4547142490817696657	0 2 30 32 42 44 54 56 84 86	635811089088
SPT(16)	4547142562796756171	0 78 116 140 156 222 242 252 296 306 326 392 408 432 470 548	707790148602
SPT(16)	4547143341694582487	0 36 56 96 104 144 146 176 234 264 266 306 314 354 374 410	1486687974918
SPT(16)	4547143521243430033	0 10 34 36 78 94 120 136 138 154 180 196 238 240 264 274	1666236822464