Prime p₀= 2315920139396670901 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 66 12 18 12 12 18 18 12 12 18 12 66 (?)
a_n: 0 66 78 96 108 120 138 156 168 180 198 210 276
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 276
Found by: Landjunge
db: batch=81, k=13, 66 12 18 12 12 18

SPT(16)	2315917586587793803	0 16 94 108 114 156 180 186 208 214 238 280 286 300 378 394	-2552808877098
STPT(10)	2315918380277522567	0 2 30 32 42 44 54 56 84 86	-1759119148334
SPT(16)	2315918464654208629	0 28 40 42 48 70 78 138 244 304 312 334 340 342 354 382	-1674742462272
STPT(10)	2315918469724505717	0 2 30 32 42 44 54 56 84 86	-1669672165184
SPT(16)	2315918960962965601	0 6 40 112 180 202 228 246 262 280 306 328 396 468 502 508	-1178433705300
SPT(16)	2315919819596784329	0 8 54 80 132 164 188 218 234 264 288 320 372 398 444 452	-319799886572
STPT(10)	2315920681177759079	0 2 48 50 90 92 132 134 180 182	541781088178
STPT(10)	2315920736012824481	0 2 30 32 78 80 126 128 156 158	596616153580
SPT(16)	2315921290228989019	0 22 40 52 54 58 82 84 148 150 174 178 180 192 210 232	1150832318118
STPT(10)	2315921660847950567	0 2 24 26 42 44 60 62 84 86	1521451279666
SPT(16)	2315921832391701847	0 22 46 52 54 82 124 144 322 342 384 412 414 420 444 466	1692995030946