Prime p₀= 4592046699476240731 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 18 12 16 24 60 8 30 30 18 12 10 12 18 30 30 8 60 24 16 12 18 (?)
a_n: 0 18 30 46 70 130 138 168 198 216 228 238 250 268 298 328 336 396 420 436 448 466
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: 466
Found by: Stony666
db: batch=85, k=22, 18 12 16 24 60 8 30 30 18 12 10

TPT(14)	4592045629318650707	0 2 12 14 72 74 222 224 240 242 282 284 330 332	-1070157590024
SPT(16)	4592045902691272691	0 30 66 120 176 206 246 248 330 332 372 402 458 512 548 578	-796784968040
SPT(16)	4592046098525032573	0 24 30 40 90 114 126 136 174 184 196 220 270 280 286 310	-600951208158
SPT(16)	4592046187111875847	0 36 40 54 70 120 130 160 180 210 220 270 286 300 304 340	-512364364884
TPT(14)	4592046526447884731	0 2 36 38 66 68 78 80 138 140 300 302 318 320	-173028356000
SPT(18)	4592046662273594071	0 22 48 70 88 106 130 132 210 238 316 318 342 360 378 400 426 448	-37202646660
SPT(16)	4592047110010320413	0 48 50 56 60 74 78 84 110 116 120 134 138 144 146 194	410534079682
STPT(10)	4592047307779224911	0 2 36 38 78 80 120 122 156 158	608302984180
STPT(10)	4592047858357771751	0 2 30 32 60 62 90 92 120 122	1158881531020
SPT(16)	4592047876041682747	0 4 172 190 210 220 234 252 364 382 396 406 426 444 612 616	1176565442016
SPT(16)	4592048145133272407	0 12 30 42 50 104 110 114 272 276 282 336 344 356 374 386	1445657031676