Prime p₀= 1681298358399008309 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 38 6 30 40 20 24 34 20 40 38 40 20 34 24 20 40 30 6 38 (?)
a_n: 0 38 44 74 114 134 158 192 212 252 290 330 350 384 408 428 468 498 504 542
All 20 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: amazing
db: batch=79, k=20, 38 6 30 40 20 24 34 20 40 38

SPT(16)	1681296642957071641	0 30 112 132 180 186 282 306 316 340 436 442 490 510 592 622	-1715441936668
SPT(16)	1681296698026121669	0 12 110 122 164 182 198 254 258 314 330 348 390 402 500 512	-1660372886640
TPT(14)	1681297098398595569	0 2 48 50 78 80 90 92 138 140 150 152 258 260	-1260000412740
SPT(16)	1681297216693472269	0 12 42 52 180 190 192 198 232 238 240 250 378 388 418 430	-1141705536040
SPT(16)	1681297317262439273	0 14 74 80 90 116 140 180 194 234 258 284 294 300 360 374	-1041136569036
SPT(16)	1681297827729005951	0 12 48 62 86 108 126 128 150 152 170 192 216 230 266 278	-530670002358
SPT(16)	1681298850976415519	0 14 24 50 78 134 140 144 224 228 234 290 318 344 354 368	492577407210
STPT(10)	1681298874751683137	0 2 30 32 42 44 54 56 84 86	516352674828
SPT(16)	1681299088959186563	0 74 110 126 188 224 276 284 300 308 360 396 458 474 510 584	730560178254
SPT(16)	1681299401148452587	0 22 64 90 102 120 150 160 204 214 244 262 274 300 342 364	1042749444278
SPT(16)	1681299703051025327	0 26 30 32 44 84 92 186 320 414 422 462 474 476 480 506	1344652017018