Prime p₀= 3662282870423662649 starts a Symmetric tuple of 22 consecutive primes (SPT).
d_n: 0 30 54 24 12 30 12 62 10 66 8 106 8 66 10 62 12 30 12 24 54 30 (?)
a_n: 0 30 84 108 120 150 162 224 234 300 308 414 422 488 498 560 572 602 614 638 692 722
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: 722
Found by: Orange Kid
db: batch=84, k=22, 30 54 24 12 30 12 62 10 66 8 106

SPT(16)	3662280288529802047	0 12 82 94 124 160 252 262 264 274 366 402 432 444 514 526	-2581893860602
SPT(16)	3662280660806753779	0 52 58 78 100 138 154 190 252 288 304 342 364 384 390 442	-2209616908870
SPT(16)	3662281050716447587	0 4 24 52 54 82 124 130 186 192 234 262 264 292 312 316	-1819707215062
STPT(10)	3662281315573943327	0 2 42 44 72 74 102 104 144 146	-1554849719322
SPT(16)	3662281748333549767	0 10 12 30 52 72 84 100 126 142 154 174 196 214 216 226	-1122090112882
SPT(16)	3662282452678405009	0 24 28 48 54 94 102 108 154 160 168 208 214 234 238 262	-417745257640
SPT(16)	3662282889449467727	0 6 14 26 132 134 152 156 230 234 252 254 360 372 380 386	19025805078
SPT(16)	3662283015790701641	0 8 66 78 122 128 150 218 240 308 330 336 380 392 450 458	145367038992
STPT(10)	3662283174484904939	0 2 12 14 30 32 48 50 60 62	304061242290
SPT(16)	3662283216691102001	0 18 20 42 62 66 98 120 248 270 302 306 326 348 350 368	346267439352
SPT(16)	3662283396360920501	0 2 56 80 122 140 156 162 170 176 192 210 252 276 330 332	525937257852