Prime p₀= 2277517670687728423 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 28 6 14 18 4 6 18 12 8 46 8 12 18 6 4 18 14 6 28 (?)
a_n: 0 28 34 48 66 70 76 94 106 114 160 168 180 198 204 208 226 240 246 274
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: 274
Found by: Landjunge
db: batch=81, k=20, 28 6 14 18 4 6 18 12 8 46

SPT(16)	2277516052621662857	0 20 36 42 102 116 132 170 186 224 240 254 314 320 336 356	-1618066065566
STPT(10)	2277516280298821097	0 2 30 32 42 44 54 56 84 86	-1390388907326
SPT(16)	2277516448540477031	0 6 72 86 108 150 192 222 266 296 338 380 402 416 482 488	-1222147251392
STPT(10)	2277516592043826311	0 2 6 8 48 50 90 92 96 98	-1078643902112
SPT(16)	2277517082780331563	0 6 30 36 44 48 80 156 188 264 296 300 308 314 338 344	-587907396860
SPT(16)	2277517128402371741	0 18 30 32 72 86 120 146 282 308 342 356 396 398 410 428	-542285356682
SPT(16)	2277518174319933833	0 36 84 150 164 254 276 294 326 344 366 456 470 536 584 620	503632205410
STPT(10)	2277518219235362027	0 2 12 14 42 44 72 74 84 86	548547633604
STPT(10)	2277518384427457487	0 2 30 32 42 44 54 56 84 86	713739729064
STPT(10)	2277518410758520751	0 2 6 8 48 50 90 92 96 98	740070792328
STPT(10)	2277518524159386689	0 2 18 20 30 32 42 44 60 62	853471658266