Prime p₀= 4329238649734251059 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 32 18 72 36 12 34 24 6 6 8 46 8 6 6 24 34 12 36 72 18 32 (?)
a_n: 0 32 50 122 158 170 204 228 234 240 248 294 302 308 314 338 372 384 420 492 510 542
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: 542
Found by: Autofuzzy
db: batch=85, k=22, 32 18 72 36 12 34 24 6 6 8 46

STPT(10)	4329235830924029297	0 2 24 26 42 44 60 62 84 86	-2818810221762
TPT(14)	4329236652619578767	0 2 12 14 60 62 132 134 240 242 264 266 270 272	-1997114672292
SPT(16)	4329236874158256209	0 50 62 120 128 188 252 260 282 290 354 414 422 480 492 542	-1775575994850
SPT(16)	4329237292214076373	0 6 36 120 216 228 306 330 354 378 456 468 564 648 678 684	-1357520174686
SPT(16)	4329238036382114183	0 6 14 66 80 86 110 116 138 144 168 174 188 240 248 254	-613352136876
SPT(16)	4329238158857341507	0 4 24 46 72 114 142 166 240 264 292 334 360 382 402 406	-490876909552
TPT(14)	4329239306843397761	0 2 48 50 78 80 150 152 168 170 258 260 300 302	657109146702
STPT(10)	4329239677033055537	0 2 30 32 42 44 54 56 84 86	1027298804478
TPT(14)	4329239938353221921	0 2 78 80 126 128 168 170 276 278 390 392 408 410	1288618970862
SPT(16)	4329240038131002073	0 4 18 78 84 94 120 148 216 244 270 280 286 346 360 364	1388396751014
SPT(16)	4329240199273984217	0 14 20 62 84 126 132 144 152 164 170 212 234 276 282 296	1549539733158