Prime p₀= 1361354195422233797 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 44 10 20 36 10 24 26 12 40 62 40 12 26 24 10 36 20 10 44 (?)
a_n: 0 44 54 74 110 120 144 170 182 222 284 324 336 362 386 396 432 452 462 506
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: 506
Found by: HenkM
db: batch=77, k=20, 44 10 20 36 10 24 26 12 40 62

SPT(16)	1361353231341148319	0 24 54 80 110 114 138 162 200 224 248 252 282 308 338 362	-964081085478
SPT(18)	1361353234171893253	0 18 64 84 96 130 154 180 246 298 364 390 414 448 460 480 526 544	-961250340544
STPT(10)	1361353645911864359	0 2 18 20 30 32 42 44 60 62	-549510369438
SPT(16)	1361353655672312369	0 8 18 42 60 68 74 78 134 138 144 152 170 194 204 212	-539749921428
SPT(16)	1361353660749519253	0 18 66 76 78 120 124 126 298 300 304 346 348 358 406 424	-534672714544
STPT(10)	1361353711846515389	0 2 30 32 60 62 90 92 120 122	-483575718408
STPT(10)	1361355002999562539	0 2 132 134 150 152 168 170 300 302	807577328742
SPT(16)	1361355177966735059	0 38 72 164 192 194 240 254 258 272 318 320 348 440 474 512	982544501262
SPT(16)	1361355252285012329	0 30 42 90 104 120 140 164 168 192 212 228 242 290 302 332	1056862778532
STPT(10)	1361355380006770241	0 2 36 38 78 80 120 122 156 158	1184584536444
SPT(16)	1361355537539511421	0 6 10 36 42 78 88 108 130 150 160 196 202 228 232 238	1342117277624