Prime p₀= 357582484287837119 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 54 14 36 10 38 12 18 6 66 28 8 28 66 6 18 12 38 10 36 14 54 (?)
a_n: 0 54 68 104 114 152 164 182 188 254 282 290 318 384 390 408 420 458 468 504 518 572
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: 572
derived by truncating larger tuple
Found by: L@MiR
db: batch=70, k=22, 54 14 36 10 38 12 18 6 66 28 8

SPT(14)	357582392712507007	0 6 16 22 30 90 112 114 136 196 204 210 220 226	-91575330112
SPT(14)	357582406176929537	0 32 66 74 92 120 126 140 146 174 192 200 234 266	-78110907582
TPT(12)	357582425653966067	0 2 90 92 102 104 144 146 174 176 240 242	-58633871052
TPT(12)	357582457189405541	0 2 18 20 36 38 60 62 78 80 90 92	-27098431578
TPT(14)	357582470194512767	0 2 12 14 24 26 162 164 204 206 222 224 240 242	-14093324352
SPT(24)	357582484287837103	0 16 70 84 120 130 168 180 198 204 270 298 306 334 400 406 424 436 474 484 520 534 588 604	-16
SPT(14)	357582496202704973	0 44 120 126 134 168 204 230 266 300 308 314 390 434	11914867854
TPT(12)	357582497416261301	0 2 60 62 120 122 198 200 420 422 426 428	13128424182
SPT(14)	357582506554349497	0 10 16 46 66 72 82 84 94 100 120 150 156 166	22266512378
SPT(14)	357582509683126733	0 20 26 38 56 96 140 144 188 228 246 258 264 284	25395289614
TPT(12)	357582512295671291	0 2 96 98 126 128 180 182 186 188 210 212	28007834172
SPT(14)	357582533602983343	0 28 64 88 106 114 118 156 160 168 186 210 246 274	49315146224