Prime p₀= 2053671410403057919 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 18 30 30 12 42 78 78 42 12 30 30 18 (?)
a_n: 0 18 48 78 90 132 210 288 330 342 372 402 420
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: 420
Found by: Landjunge
db: batch=80, k=13, 18 30 30 12 42 78

SPT(16)	2053670540205774157	0 6 12 42 54 94 120 154 162 196 222 262 274 304 310 316	-870197283762
TPT(14)	2053670598492589031	0 2 18 20 48 50 96 98 156 158 228 230 258 260	-811910468888
SPT(16)	2053670724057857077	0 4 34 40 64 70 96 106 144 154 180 186 210 216 246 250	-686345200842
STPT(10)	2053671120608323079	0 2 42 44 90 92 138 140 180 182	-289794734840
SPT(16)	2053671218399301967	0 60 72 82 124 166 180 226 240 286 300 342 384 394 406 466	-192003755952
SPT(16)	2053671376490584913	0 44 60 80 90 128 200 230 234 264 336 374 384 404 420 464	-33912473006
SPT(16)	2053671938126591621	0 20 62 90 102 146 150 156 242 248 252 296 308 336 378 398	527723533702
STPT(10)	2053672257621118787	0 2 42 44 72 74 102 104 144 146	847218060868
SPT(16)	2053672532262117049	0 28 30 34 40 78 114 208 240 334 370 408 414 418 420 448	1121859059130
STPT(10)	2053672577089702097	0 2 60 62 72 74 84 86 144 146	1166686644178
SPT(16)	2053672802280182059	0 4 72 114 142 144 162 204 208 250 268 270 298 340 408 412	1391877124140