Prime p₀= 2011875116371179853 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 70 44 36 40 8 12 78 22 78 12 8 40 36 44 70 (?)
a_n: 0 70 114 150 190 198 210 288 310 388 400 408 448 484 528 598
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 598
Found by: Landjunge
db: batch=80, k=16, 70 44 36 40 8 12 78 22

SPT(16)	2011874570658996907	0 6 30 174 216 222 234 252 264 282 294 300 342 486 510 516	-545712182946
STPT(10)	2011874573502008399	0 2 18 20 30 32 42 44 60 62	-542869171454
STPT(10)	2011874577751305341	0 2 6 8 48 50 90 92 96 98	-538619874512
SPT(16)	2011874663438966849	0 18 42 50 90 120 134 158 204 228 242 272 312 320 344 362	-452932213004
STPT(10)	2011874793117476381	0 2 6 8 48 50 90 92 96 98	-323253703472
TPT(14)	2011875078301229177	0 2 24 26 150 152 192 194 210 212 252 254 324 326	-38069950676
TPT(14)	2011875179609711081	0 2 30 32 78 80 108 110 156 158 180 182 210 212	63238531228
SPT(16)	2011875473877513599	0 24 90 122 134 144 164 210 224 270 290 300 312 344 410 434	357506333746
SPT(16)	2011875841150847977	0 4 30 42 54 64 70 112 114 156 162 172 184 196 222 226	724779668124
STPT(10)	2011875941899491011	0 2 36 38 78 80 120 122 156 158	825528311158
SPT(16)	2011876032654198539	0 8 14 108 138 170 192 240 272 320 342 374 404 498 504 512	916283018686