Prime p₀= 1260475898221143277 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 22 104 18 28 14 16 42 2 6 52 6 2 42 16 14 28 18 104 22 (?)
a_n: 0 22 126 144 172 186 202 244 246 252 304 310 312 354 370 384 412 430 534 556
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: 556
Found by: vaughan
db: batch=77, k=20, 22 104 18 28 14 16 42 2 6 52

SPT(16)	1260475112913001789	0 30 40 48 58 72 108 172 180 244 280 294 304 312 322 352	-785308141488
STPT(10)	1260475137734521517	0 2 12 14 42 44 72 74 84 86	-760486621760
SPT(16)	1260475362420286951	0 52 60 66 126 142 190 198 220 228 276 292 352 358 366 418	-535800856326
TPT(14)	1260475372527571469	0 2 42 44 90 92 150 152 192 194 222 224 300 302	-525693571808
STPT(10)	1260475511507185109	0 2 12 14 90 92 168 170 180 182	-386713958168
SPT(16)	1260475663740422821	0 40 60 126 168 180 208 226 282 300 328 340 382 448 468 508	-234480720456
STPT(12)	1260476119229792117	0 2 30 32 42 44 90 92 102 104 132 134	221008648840
STPT(10)	1260476455128449861	0 2 30 32 78 80 126 128 156 158	556907306584
STPT(10)	1260476700964801121	0 2 6 8 48 50 90 92 96 98	802743657844
SPT(16)	1260477016171410263	0 18 20 90 98 108 140 144 230 234 266 276 284 354 356 374	1117950266986
STPT(10)	1260477696099557861	0 2 30 32 78 80 126 128 156 158	1797878414584